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arxiv: 2605.07778 · v1 · submitted 2026-05-08 · 🌀 gr-qc

Recognition: 2 theorem links

· Lean Theorem

Scalar memory from compact binary coalescences

Jann Zosso , Silvia Gasparotto , Llibert Arest\'e Sal\'o , Daniela D. Doneva , Stoytcho S. Yazadjiev
Authors on Pith no claims yet

Pith reviewed 2026-05-11 02:05 UTC · model grok-4.3

classification 🌀 gr-qc
keywords gravitational memoryscalar-Gauss-Bonnet gravitybinary black hole mergersscalar chargegravitational wavesRicci couplingbreathing polarizationnumerical relativity
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0 comments X

The pith

The change in scalar charge during a black-hole merger produces a new scalar-memory signal in Ricci-coupled scalar-Gauss-Bonnet gravity that rivals the size of the tensor-memory correction.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines gravitational memory effects in a theory that extends general relativity by coupling a scalar field to the Gauss-Bonnet invariant and to the Ricci tensor. Numerical-relativity waveforms of binary black-hole coalescences show that the scalar charge of the system drops across merger, sourcing an additional scalar breathing polarization that accumulates as a low-frequency memory offset. For a GW150914-like event this scalar-memory contribution appears on the same timescale as the ordinary memory and reaches an amplitude comparable to the pure scalar-Gauss-Bonnet correction to tensor memory. The net result is a larger net deviation from the general-relativity prediction across a wide range of source and detector orientations. The authors argue that any compact-binary merger that alters an asymptotic charge of an extra gravitational field will generate an analogous leading low-frequency signature whenever that field couples to an observable polarization.

Core claim

In Ricci-coupled scalar-Gauss-Bonnet gravity the scalar charge of a binary black-hole system is not conserved across merger; the resulting change sources a scalar-memory term whose amplitude is comparable to the scalar-Gauss-Bonnet correction to ordinary tensor memory, thereby substantially increasing the total observable deviation from general relativity on the detector timescale.

What carries the argument

Scalar-memory contribution generated by the jump in the system's scalar charge, which sources an extra breathing polarization in the gravitational-wave strain.

If this is right

  • The total memory deviation from general relativity is at least twice as large as the pure scalar-Gauss-Bonnet tensor correction over a broad range of inclinations and distances.
  • Scalar memory appears on the same observable timescale as tensor memory, allowing both to be extracted from the same post-merger data segment.
  • Any modified-gravity model in which a compact-binary merger changes an asymptotic charge of an extra field will produce an analogous leading low-frequency signature if that field excites an observable polarization.
  • Memory searches in ground-based and space-based detectors can place new constraints on the coupling constants of Ricci-coupled scalar-Gauss-Bonnet gravity even when the high-frequency waveform deviations remain small.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Memory measurements could become the dominant channel for testing scalar-tensor theories once the high-frequency ringdown has been used to fix the source parameters.
  • The mechanism suggests that memory signals should be re-examined in other theories that carry additional asymptotic charges, such as certain vector-tensor or higher-curvature models.
  • Detector networks with good low-frequency response below 10 Hz would gain the largest sensitivity gain from including the scalar-memory term in template banks.

Load-bearing premise

Numerical-relativity waveforms accurately track the scalar-charge evolution through merger and the breathing polarization reaches the detector without being suppressed by other effects.

What would settle it

A direct comparison of the low-frequency strain offset measured in a detector network for a GW150914-like event against the prediction obtained by subtracting the general-relativity memory from the full scalar-Gauss-Bonnet waveform with and without the scalar-charge jump.

Figures

Figures reproduced from arXiv: 2605.07778 by Daniela D. Doneva, Jann Zosso, Llibert Arest\'e Sal\'o, Silvia Gasparotto, Stoytcho S. Yazadjiev.

Figure 1
Figure 1. Figure 1: NR waveforms with λα/m2 2 = 0.1414 and mass ra￾tio q = 1.221 of a GW150914-like BBH, comparing GR and the vacuum dynamics of RCsGB. Top: dominant (2, 2) tensor waveforms. Middle: leading scalar multipoles. Bottom: dom￾inant tensor memory mode δh20, with the total sGB memory– corresponding to the tensor memory in RCsGB–about 2% larger than in GR. The scalar-induced contribution δh20[φ], shown enlarged in th… view at source ↗
Figure 2
Figure 2. Figure 2: Memory-only detector response for four representative source-detector geometries. Shown are GR (solid blue), pure [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Final relative memory deviation in the detector [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Absolute values of the antenna pattern functions [PITH_FULL_IMAGE:figures/full_fig_p012_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Initial and final scalar monopole amplitudes [PITH_FULL_IMAGE:figures/full_fig_p013_5.png] view at source ↗
read the original abstract

Gravitational memory provides a distinctive low-frequency probe of gravity, but explicit merger studies beyond general relativity remain limited. In this work, we investigate memory from binary black hole mergers in Ricci-coupled scalar-Gauss-Bonnet gravity, a natural extension of scalar-Gauss-Bonnet theory that admits an additional scalar breathing polarization. Based on numerical-relativity waveforms of binary black hole coalescences, we show that the change in the scalar charge of the system across merger generates a significant scalar-memory contribution. For a GW150914-like system, this effect modifies the memory signal in a gravitational-wave detector on the same observable timescale and by an amount comparable to the pure scalar-Gauss-Bonnet correction to tensor memory. Thus, it can substantially enhance the total deviation from the general-relativity prediction over a broad range of source and detector configurations. We argue that this identifies a general mechanism: whenever a compact-binary merger changes the asymptotic charge of an additional gravitational field, and that field sources an observable extra polarization, the resulting memory can provide a leading low-frequency signature of new gravitational physics.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper claims that in Ricci-coupled scalar-Gauss-Bonnet gravity, the change in asymptotic scalar charge during binary black hole mergers generates a scalar-memory contribution. Using post-processed numerical-relativity waveforms for GW150914-like systems, it shows this effect modifies the detector memory signal on the same observable timescale and with amplitude comparable to the pure sGB correction to tensor memory, substantially enhancing the total deviation from GR over a range of source and detector configurations. It identifies this as a general mechanism whenever a merger changes the asymptotic charge of an additional field that sources an observable polarization.

Significance. If the central extraction and comparison hold, the work provides a concrete, falsifiable low-frequency signature of modified gravity via memory and breathing modes, extending beyond existing tensor-memory studies in sGB. The general mechanism argument is a strength, as it ties directly to charge evolution without introducing new free parameters beyond the coupling strength.

major comments (2)
  1. [Numerical setup and scalar-charge extraction (likely §3–4)] Numerical setup and scalar-charge extraction (likely §3–4): the headline quantitative claims—that the scalar memory modifies the signal on the same timescale and by an amount comparable to the sGB tensor-memory correction—rest on post-processing GR NR waveforms to obtain the scalar-charge history. Because the Ricci coupling alters the background metric and merger dynamics, the inspiral duration, ringdown, and dQ/dt are not guaranteed to match GR; no controlled comparison to modified-gravity waveforms or back-reaction error budget is provided, leaving the 'comparable amount' and 'same timescale' statements unverified at the level needed for the detector-response assertion.
  2. [Detector-response and memory integral (likely §5)] Detector-response and memory integral (likely §5): the statement that the scalar-memory contribution is observable without suppression requires explicit propagation of the breathing polarization through the detector response function, including any projection factors or frequency-dependent filtering. The manuscript does not appear to show the full time-domain strain including both tensor and scalar memory for a network of detectors, which is load-bearing for the claim that the effect 'substantially enhance[s] the total deviation'.
minor comments (2)
  1. [Abstract and §1] The abstract and introduction should explicitly state the range of scalar-Gauss-Bonnet coupling strengths for which the 'comparable' statement holds, rather than leaving it implicit.
  2. [Theory and memory definitions] Notation for the scalar charge Q and its time derivative should be unified across equations; currently the memory integral appears to use an asymptotic value without clarifying the matching to the near-zone charge evolution.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for their careful and constructive review. The comments identify key areas where the presentation and justification can be strengthened. We address each major comment below and will revise the manuscript to incorporate clarifications and additional analysis where feasible.

read point-by-point responses

  1. Referee: Numerical setup and scalar-charge extraction (likely §3–4): the headline quantitative claims—that the scalar memory modifies the signal on the same timescale and by an amount comparable to the sGB tensor-memory correction—rest on post-processing GR NR waveforms to obtain the scalar-charge history. Because the Ricci coupling alters the background metric and merger dynamics, the inspiral duration, ringdown, and dQ/dt are not guaranteed to match GR; no controlled comparison to modified-gravity waveforms or back-reaction error budget is provided, leaving the 'comparable amount' and 'same timescale' statements unverified at the level needed for the detector-response assertion.

    Authors: We acknowledge that the quantitative results rely on post-processing of GR NR waveforms. This is justified in the weak-coupling regime, where the Ricci coupling induces only perturbative corrections to the metric and dynamics; the leading scalar-charge evolution can be extracted consistently at the order relevant for memory. However, we agree that an explicit discussion of the approximation's validity is needed. In the revision we will add a dedicated subsection estimating the size of back-reaction effects via perturbative arguments and qualifying the statements on amplitude and timescale accordingly. A full controlled comparison with modified-gravity NR waveforms lies beyond the present scope. revision: partial

  2. Referee: Detector-response and memory integral (likely §5): the statement that the scalar-memory contribution is observable without suppression requires explicit propagation of the breathing polarization through the detector response function, including any projection factors or frequency-dependent filtering. The manuscript does not appear to show the full time-domain strain including both tensor and scalar memory for a network of detectors, which is load-bearing for the claim that the effect 'substantially enhance[s] the total deviation'.

    Authors: We agree that explicit propagation through the detector response is required to substantiate the observability claim. In the revised manuscript we will include the full time-domain strain for a detector network, incorporating the breathing-mode response, antenna-pattern projections, and any relevant filtering. This will demonstrate the combined tensor-plus-scalar memory signal and the resulting enhancement relative to GR. revision: yes

standing simulated objections not resolved
  • A complete set of numerical-relativity waveforms evolved directly in Ricci-coupled scalar-Gauss-Bonnet gravity (required for a fully controlled back-reaction comparison) is not available and would necessitate substantial new code development and computational resources outside the scope of this work.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper computes the scalar-memory contribution directly from the observed change in asymptotic scalar charge across merger, using that change as an input extracted from numerical-relativity waveforms. This constitutes a standard forward calculation rather than a self-definitional loop, a fitted parameter relabeled as prediction, or a load-bearing self-citation chain. No equations or steps in the provided abstract reduce the claimed memory effect to the inputs by construction; the result remains an independent consequence of the simulated charge evolution and is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the existence of a scalar charge that evolves during merger and on the ability of numerical relativity to evolve the coupled system without uncontrolled truncation errors.

free parameters (1)
  • scalar-Gauss-Bonnet coupling strength
    The dimensionless coupling parameter that controls the strength of the scalar field sourcing and therefore the size of both the charge and the memory contribution.
axioms (1)
  • domain assumption The Ricci-coupled scalar-Gauss-Bonnet theory admits a scalar breathing polarization that couples to the detector response.
    Invoked when the abstract states that the scalar memory modifies the signal in a gravitational-wave detector.

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Reference graph

Works this paper leans on

117 extracted references · 117 canonical work pages · 4 internal anchors

  1. [1]

    Concretely, we employ the waveforms presented in Refs

    Numerical relativity waveforms We use existing numerical-relativity waveforms from shift-symmetric sGB gravity as the dynamical input for our proof-of-principle study of memory in RCsGB grav- ity. Concretely, we employ the waveforms presented in Refs. [93, 96] of BBH simulations performed with GRFolres[97], an extension ofGRChombo[98]. The logic for using...

    work page

  2. [2]

    Concrete radiation events As a representative proof-of-principle example, we con- sider a GW150914-like BBH configuration from [93], corresponding to a non-spinning near-equal-mass binary with mass ratioq=m 1/m2 = 1.221 at relatively large GB couplingλ/m 2 2 = 0.1414, wherem 2 denotes the ADM mass of the secondary black hole in the underlying Einstein-fra...

    work page

  3. [3]

    Detector geometry In order to quantify the effect of the presence of the ad- ditional scalar polarization on memory, we consider the specific detector geometry of an equal-arm rectangular interferometer as the fundamental building block of cur- rent and future ground-based detector networks. In the short-timescale and long-wavelength approximation rele- v...

    work page

  4. [4]

    Memory in RCsGB gravity We now come to the central result of this work: in RCsGB gravity, the observable memory in the detector response receives not only the beyond-GR correction al- ready present in pure sGB through the tensor sector, but in addition a scalar-memory contribution associated with the net change of scalar charge across merger. In the prese...

    work page

  5. [5]

    At fixedλ α/m2 2 and fixed total mass, the overall amplitudes therefore scale asφ I 00 ∝1/qandφ F 00 ∝1/(1+ q)2 (see Fig

    monopolar scalar charges. At fixedλ α/m2 2 and fixed total mass, the overall amplitudes therefore scale asφ I 00 ∝1/qandφ F 00 ∝1/(1+ q)2 (see Fig. 5 in Appendix. D), while their ratio is φI 00 φF 00 ≃ (1 +q) 2 q = 1 η .(32) This insight directly explains the sudden drop in scalar charge by a factor of the order of 1/η≃4 for a near equal mass configuratio...

    work page

  6. [6]

    LAS is partly funded by Interuniversitaire Bi- jzonder Onderzoeksfonds (IBOF)/21/084. DD ac- knowledges financial support from the Spanish Min- istry of Science and Innovation through the Ram´ on y Cajal programme (grant RYC2023-042559-I), funded by MCIN/AEI/10.13039/501100011033, from an Emmy Noether Research Group funded by the German Re- search Foundat...

    work page doi:10.13039/501100011033

  7. [7]

    II C was computed in full generality such that the specific Ricci-coupled sGB results can straightforwardly be re- trieved through Eq

    Full results in Horndeski gravity For Horndeski theory the formulas for gravitational po- larizations [32, 84] and gravitational memory [31–33, 52] in asymptotically flat spacetime as defined in Sec. II C was computed in full generality such that the specific Ricci-coupled sGB results can straightforwardly be re- trieved through Eq. (A6) within the asympt...

    work page

  8. [8]

    However, in general, the theory admits the presence of a transverse breathing scalar polarization, since [Eq

    Recovering Ricci-coupled sGB results Since the scalar DOF in RCsGB is massless due to the absence of a scalar field potential, we have m= 0⇔v S = 1,(A12) implying the absence of any longitudinal polarization. However, in general, the theory admits the presence of a transverse breathing scalar polarization, since [Eq. (A8)] σ= f ′(φ0) f(φ0) ,(A13) which is...

    work page

  9. [9]

    Radiation basis Given a source-centered spherical coordinate system {t, r,Ω = (θ, ϕ)}the unit radial vector reads n(Ω) = (sinθcosϕ,sinθsinϕ,cosθ).(C1) The associated transverse space of a given directionn(Ω) can then be described through 12 θ(Ω, ψ) = (cosθcosϕcosψ+ sinϕsinψ,cosθsinϕcosψ−cosϕsinψ,−sinθcosψ),(C2a) ϕ(Ω, ψ) = (cosθcosϕsinψ−sinϕcosψ,cosθsinϕsi...

    work page

  10. [10]

    Detector pattern functions For an equal-arm interferometer with arms along the detector-frame directionse xd ande yd, the detector re- sponse to the polarization matrixP ij in Eq. (10) is P(t) = 1 2 exd i exd j −e yd i eyd j P ij .(C5) The response to each individual polarization is encoded in the correspondingantenna pattern function FΛ ≡ 1 2 exd i exd j...

    work page

  11. [11]

    Tests of General Relativity with GWTC-3

    Markers denote numerical values extracted from the scalar waveform. Smooth curves show the analytic scalings in Eq. (D2) normalized to the correspondingq= 1 value. 11 Interestingly, in the large-qlimit the absolute scalar jump scales as|∆φ 00| ∼q −1, and therefore even decreases more slowly with qthan the total tensor memory scaling ∆h∼η 1.65 ∼q −1.65 fou...

    work page internal anchor Pith review arXiv 2025

  12. [12]

    Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO

    D. Reitzeet al., “Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO,”Bull. Am. Astron. Soc.51no. 7, (2019) 035,arXiv:1907.04833 [astro-ph.IM]. [6]LISACollaboration, M. Colpiet al., “LISA Definition Study Report,”arXiv:2402.07571 [astro-ph.CO]. [7]TianQinCollaboration, J. Meiet al., “The TianQin project: current progress on...

    work page internal anchor Pith review arXiv 2019

  13. [13]

    Radiation of gravitational waves by a cluster of superdense stars,

    Y. B. Zel’dovich and A. G. Polnarev, “Radiation of gravitational waves by a cluster of superdense stars,” Sov. Astron.18(1974) 17

    work page 1974

  14. [14]

    Kinematic Resonance and Memory Effect in Free Mass Gravitational Antennas,

    V. B. Braginsky and L. P. Grishchuk, “Kinematic Resonance and Memory Effect in Free Mass Gravitational Antennas,”Sov. Phys. JETP62(1985) 427–430

    work page 1985

  15. [15]

    Gravitational-wave bursts with memory and experimental prospects,

    V. B. Braginsky and K. S. Thorne, “Gravitational-wave bursts with memory and experimental prospects,”Nature327(1987) 123–125

    work page 1987

  16. [16]

    Gravitational-wave bursts with memory: The Christodoulou effect,

    K. S. Thorne, “Gravitational-wave bursts with memory: The Christodoulou effect,”Phys. Rev. D45 (Jan, 1992) 520–524.https: //link.aps.org/doi/10.1103/PhysRevD.45.520

    work page doi:10.1103/physrevd.45.520 1992

  17. [17]

    Nonlinear nature of gravitation and gravitational wave experiments,

    D. Christodoulou, “Nonlinear nature of gravitation and gravitational wave experiments,”Phys. Rev. Lett. 67(1991) 1486–1489

    work page 1991

  18. [18]

    Hereditary effects in gravitational radiation,

    L. Blanchet and T. Damour, “Hereditary effects in gravitational radiation,”Phys. Rev. D46(1992) 4304–4319

    work page 1992

  19. [19]

    Christodoulou’s nonlinear gravitational wave memory: Evaluation in the quadrupole approximation,

    A. G. Wiseman and C. M. Will, “Christodoulou’s nonlinear gravitational wave memory: Evaluation in the quadrupole approximation,”Phys. Rev. D44 no. 10, (1991) R2945–R2949

    work page 1991

  20. [20]

    Nonlinear gravitational-wave memory from binary black hole mergers,

    M. Favata, “Nonlinear gravitational-wave memory from binary black hole mergers,”Astrophys. J. Lett. 696(2009) L159–L162,arXiv:0902.3660 [astro-ph.SR]

    work page arXiv 2009

  21. [21]

    Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,

    H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,”Proc. Roy. Soc. Lond. A269(1962) 21–52

    work page 1962

  22. [22]

    R. K. Sachs, “Gravitational waves in general relativity

    work page

  23. [23]

    Waves in asymptotically flat space-times,”Proc. Roy. Soc. Lond. A270(1962) 103–126

    work page 1962

  24. [24]

    Infrared Photons and Gravitons,

    S. Weinberg, “Infrared Photons and Gravitons,”Phys. Rev.140(Oct, 1965) B516–B524

    work page 1965

  25. [25]

    Lectures on the Infrared Structure of Gravity and Gauge Theory

    A. Strominger,Lectures on the Infrared Structure of Gravity and Gauge Theory. Princeton University Press, 2018.arXiv:1703.05448 [hep-th]

    work page Pith review arXiv 2018

  26. [26]

    On BMS Invariance of Gravitational Scattering

    A. Strominger, “On BMS Invariance of Gravitational Scattering,”JHEP07(2014) 152,arXiv:1312.2229 [hep-th]

    work page arXiv 2014

  27. [27]

    BMS supertranslations and Weinberg's soft graviton theorem

    T. He, V. Lysov, P. Mitra, and A. Strominger, “BMS supertranslations and Weinberg’s soft graviton theorem,”JHEP05(2015) 151,arXiv:1401.7026 [hep-th]

    work page Pith review arXiv 2015

  28. [28]

    Strominger and A

    A. Strominger and A. Zhiboedov, “Gravitational Memory, BMS Supertranslations and Soft Theorems,” JHEP01(2016) 086,arXiv:1411.5745 [hep-th]

    work page arXiv 2016

  29. [29]

    Pasterski, A

    S. Pasterski, A. Strominger, and A. Zhiboedov, “New Gravitational Memories,”JHEP12(2016) 053, arXiv:1502.06120 [hep-th]

    work page arXiv 2016

  30. [30]

    Measuring gravitational-wave memory in the first LIGO/Virgo gravitational-wave transient catalog,

    M. H¨ ubner, C. Talbot, P. D. Lasky, and E. Thrane, “Measuring gravitational-wave memory in the first LIGO/Virgo gravitational-wave transient catalog,” Phys. Rev. D101no. 2, (2020) 023011, arXiv:1911.12496 [astro-ph.HE]

    work page arXiv 2020

  31. [31]

    Memory remains undetected: Updates from the second LIGO/Virgo gravitational-wave transient catalog,

    M. H¨ ubner, P. Lasky, and E. Thrane, “Memory remains undetected: Updates from the second LIGO/Virgo gravitational-wave transient catalog,” Phys. Rev. D104no. 2, (2021) 023004, arXiv:2105.02879 [gr-qc]

    work page arXiv 2021

  32. [32]

    Outlook for detecting the gravitational-wave displacement and spin memory effects with current and future gravitational-wave detectors,

    A. M. Grant and D. A. Nichols, “Outlook for detecting the gravitational-wave displacement and spin memory effects with current and future gravitational-wave detectors,”Phys. Rev. D107no. 6, (2023) 064056, arXiv:2210.16266 [gr-qc]. [Erratum: Phys.Rev.D 108, 029901 (2023)]

    work page arXiv 2023

  33. [33]

    Can gravitational-wave memory help constrain binary black-hole parameters? A LISA case study,

    S. Gasparotto, R. Vicente, D. Blas, A. C. Jenkins, and E. Barausse, “Can gravitational-wave memory help constrain binary black-hole parameters? A LISA case study,”Phys. Rev. D107no. 12, (2023) 124033, arXiv:2301.13228 [gr-qc]

    work page arXiv 2023

  34. [34]

    Inchauspé, S

    H. Inchausp´ e, S. Gasparotto, D. Blas, L. Heisenberg, J. Zosso, and S. Tiwari, “Measuring gravitational wave memory with LISA,”Phys. Rev. D111no. 4, (2025) 044044,arXiv:2406.09228 [gr-qc]

    work page arXiv 2025

  35. [35]

    Cogez et al., Detectability of gravitational-wave memory with lisa: A bayesian approach (2026), arXiv:2601.23230 [gr-qc]

    A. Cogez, S. Gasparotto, J. Zosso, H. Inchausp´ e, C. Pitte, L. Maga˜ na Zertuche, A. Petiteau, and M. Besancon, “Detectability of Gravitational-Wave Memory with LISA: A Bayesian Approach,” arXiv:2601.23230 [gr-qc]

    work page arXiv

  36. [36]

    Towards Claiming a Detection of Gravitational Memory,

    J. Zosso, L. Maga˜ na Zertuche, S. Gasparotto, A. Cogez, H. Inchausp´ e, and M. Jacobs, “Towards Claiming a Detection of Gravitational Memory,” 1, 2026

    work page 2026

  37. [37]

    Gravitational wave memory beyond general relativity,

    L. Heisenberg, N. Yunes, and J. Zosso, “Gravitational wave memory beyond general relativity,”Phys. Rev. D 108no. 2, (2023) 024010,arXiv:2303.02021 [gr-qc]

    work page arXiv 2023

  38. [38]

    Unifying ordinary and null memory,

    L. Heisenberg, G. Xu, and J. Zosso, “Unifying ordinary and null memory,”JCAP05(2024) 119, arXiv:2401.05936 [gr-qc]

    work page arXiv 2024

  39. [39]

    Zosso,Probing Gravity - Fundamental Aspects of Metric Theories and their Implications for Tests of General Relativity

    J. Zosso,Probing Gravity - Fundamental Aspects of Metric Theories and their Implications for Tests of General Relativity. PhD thesis, Zurich, ETH, 2024. 15 arXiv:2412.06043 [gr-qc]

    work page arXiv 2024

  40. [40]

    Continuing Isaacson’s Legacy: A general metric theory perspective on gravitational memory and the non-linearity of gravity,

    J. Zosso, “Continuing Isaacson’s Legacy: A general metric theory perspective on gravitational memory and the non-linearity of gravity,” in59th Rencontres de Moriond on Gravitation: Moriond 2025 Gravitation. 5, 2025.arXiv:2505.17603 [gr-qc]

    work page arXiv 2025

  41. [41]

    Constraining superluminal Einstein-Æther gravity through gravitational memory,

    L. Heisenberg, B. Rosatello, G. Xu, and J. Zosso, “Constraining superluminal Einstein-Æther gravity through gravitational memory,”Phys. Rev. D112 no. 2, (2025) 024052,arXiv:2505.09544 [gr-qc]

    work page arXiv 2025

  42. [42]

    Gravitational memory in generalized Proca gravity,

    L. Heisenberg, B. Rosatello, G. Xu, and J. Zosso, “Gravitational memory in generalized Proca gravity,” Phys. Rev. D112no. 10, (2025) 104073, arXiv:2508.20545 [gr-qc]

    work page arXiv 2025

  43. [43]

    Maibach and J

    D. Maibach and J. Zosso, “Balance flux laws beyond general relativity,”arXiv:2601.07091 [gr-qc]

    work page arXiv

  44. [44]

    Compact binary systems in scalar-tensor gravity. II. Tensor gravitational waves to second post-Newtonian order

    R. N. Lang, “Compact binary systems in scalar-tensor gravity. II. Tensor gravitational waves to second post-Newtonian order,”Phys. Rev. D89no. 8, (2014) 084014,arXiv:1310.3320 [gr-qc]

    work page Pith review arXiv 2014

  45. [45]

    Compact binary systems in scalar-tensor gravity. III. Scalar waves and energy flux

    R. N. Lang, “Compact binary systems in scalar-tensor gravity. III. Scalar waves and energy flux,”Phys. Rev. D91no. 8, (2015) 084027,arXiv:1411.3073 [gr-qc]

    work page Pith review arXiv 2015

  46. [46]

    Gravitational Wave Memory: A New Approach to Study Modified Gravity,

    S. M. Du and A. Nishizawa, “Gravitational Wave Memory: A New Approach to Study Modified Gravity,”Phys. Rev. D94no. 10, (2016) 104063, arXiv:1609.09825 [gr-qc]

    work page arXiv 2016

  47. [47]

    Gravitational waveforms in scalar-tensor gravity at 2PN relative order

    N. Sennett, S. Marsat, and A. Buonanno, “Gravitational waveforms in scalar-tensor gravity at 2PN relative order,”Phys. Rev. D94no. 8, (2016) 084003,arXiv:1607.01420 [gr-qc]

    work page Pith review arXiv 2016

  48. [48]

    Brans-Dicke theory in Bondi-Sachs form: Asymptotically flat solutions, asymptotic symmetries and gravitational-wave memory effects,

    S. Tahura, D. A. Nichols, A. Saffer, L. C. Stein, and K. Yagi, “Brans-Dicke theory in Bondi-Sachs form: Asymptotically flat solutions, asymptotic symmetries and gravitational-wave memory effects,”Phys. Rev. D 103no. 10, (2021) 104026,arXiv:2007.13799 [gr-qc]

    work page arXiv 2021

  49. [49]

    Gravitational-wave memory effects in Brans-Dicke theory: Waveforms and effects in the post-Newtonian approximation,

    S. Tahura, D. A. Nichols, and K. Yagi, “Gravitational-wave memory effects in Brans-Dicke theory: Waveforms and effects in the post-Newtonian approximation,”Phys. Rev. D104no. 10, (2021) 104010,arXiv:2107.02208 [gr-qc]

    work page arXiv 2021

  50. [50]

    Gravitational memory effects and Bondi-Metzner-Sachs symmetries in scalar-tensor theories,

    S. Hou and Z.-H. Zhu, “Gravitational memory effects and Bondi-Metzner-Sachs symmetries in scalar-tensor theories,”JHEP01(2021) 083,arXiv:2005.01310 [gr-qc]

    work page arXiv 2021

  51. [51]

    ”Conserved charges

    S. Hou and Z.-H. Zhu, “”Conserved charges” of the Bondi-Metzner-Sachs algebra in the Brans-Dicke theory,”Chin. Phys. C45no. 2, (2021) 023122, arXiv:2008.05154 [gr-qc]

    work page arXiv 2021

  52. [52]

    Testing Brans-Dicke Gravity with Screening by Scalar Gravitational Wave Memory,

    K. Koyama, “Testing Brans-Dicke Gravity with Screening by Scalar Gravitational Wave Memory,” Phys. Rev. D102no. 2, (2020) 021502, arXiv:2006.15914 [gr-qc]

    work page arXiv 2020

  53. [53]

    Gravitational breathing memory and dual symmetries,

    A. Seraj, “Gravitational breathing memory and dual symmetries,”JHEP05(2021) 283,arXiv:2103.12185 [hep-th]

    work page arXiv 2021

  54. [54]

    Bernard, L

    L. Bernard, L. Blanchet, and D. Trestini, “Gravitational waves in scalar-tensor theory to one-and-a-half post-Newtonian order,”JCAP08 no. 08, (2022) 008,arXiv:2201.10924 [gr-qc]

    work page arXiv 2022

  55. [55]

    Quasi-Keplerian parametrization for eccentric compact binaries in scalar-tensor theories at second post-Newtonian order and applications,

    D. Trestini, “Quasi-Keplerian parametrization for eccentric compact binaries in scalar-tensor theories at second post-Newtonian order and applications,”Phys. Rev. D109no. 10, (2024) 104003,arXiv:2401.06844 [gr-qc]

    work page arXiv 2024

  56. [56]

    Einstein–Klein–Gordon system via Cauchy-characteristic evolution: computation of memory and ringdown tail,

    S. Ma, K. C. Nelli, J. Moxon, M. A. Scheel, N. Deppe, L. E. Kidder, W. Throwe, and N. L. Vu, “Einstein–Klein–Gordon system via Cauchy-characteristic evolution: computation of memory and ringdown tail,”Class. Quant. Grav.42 no. 5, (2025) 055006,arXiv:2409.06141 [gr-qc]

    work page arXiv 2025

  57. [57]

    Gravitational-wave memory effects in the Damour-Esposito-Far` ese extension of Brans-Dicke theory,

    S. Tahura, D. A. Nichols, and K. Yagi, “Gravitational-wave memory effects in the Damour-Esposito-Far` ese extension of Brans-Dicke theory,”Phys. Rev. D112no. 8, (2025) 084037, arXiv:2501.07488 [gr-qc]

    work page arXiv 2025

  58. [58]

    Gravitational Memory from Hairy Binary Black Hole Mergers

    S. Gasparotto, J. Zosso, L. Arest´ e Sal´ o, D. D. Doneva, and S. S. Yazadjiev, “Gravitational Memory from Hairy Binary Black Hole Mergers,”arXiv:2604.09350 [gr-qc]

    work page internal anchor Pith review Pith/arXiv arXiv

  59. [59]

    Effective Field Theory for Inflation

    S. Weinberg, “Effective Field Theory for Inflation,” Phys. Rev. D77(2008) 123541,arXiv:0804.4291 [hep-th]

    work page Pith review arXiv 2008

  60. [60]

    Higher-derivative Lagrangians, nonlocality, problems, and solutions,

    J. Z. Simon, “Higher-derivative Lagrangians, nonlocality, problems, and solutions,”Phys. Rev. D41 (Jun, 1990) 3720–3733

    work page 1990

  61. [61]

    Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays

    N. Yunes and X. Siemens, “Gravitational-Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing-Arrays,”Living Rev. Rel.16 (2013) 9,arXiv:1304.3473 [gr-qc]

    work page Pith review arXiv 2013

  62. [62]

    Curvature Squared Terms and String Theories,

    B. Zwiebach, “Curvature Squared Terms and String Theories,”Phys. Lett. B156(1985) 315–317

    work page 1985

  63. [63]

    Superstring Modifications of Einstein’s Equations,

    D. J. Gross and E. Witten, “Superstring Modifications of Einstein’s Equations,”Nucl. Phys. B277(1986) 1

    work page 1986

  64. [64]

    Effective Gravity Theories With Dilatons,

    D. G. Boulware and S. Deser, “Effective Gravity Theories With Dilatons,”Phys. Lett. B175(1986) 409–412

    work page 1986

  65. [65]

    Order alpha-prime (Two Loop) Equivalence of the String Equations of Motion and the Sigma Model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor,

    R. R. Metsaev and A. A. Tseytlin, “Order alpha-prime (Two Loop) Equivalence of the String Equations of Motion and the Sigma Model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor,”Nucl. Phys. B293(1987) 385–419

    work page 1987

  66. [66]

    Dilatonic Black Holes with Gauss-Bonnet Term

    T. Torii, H. Yajima, and K.-i. Maeda, “Dilatonic black holes with Gauss-Bonnet term,”Phys. Rev. D55 (1997) 739–753,arXiv:gr-qc/9606034

    work page Pith review arXiv 1997

  67. [67]

    Higher-Derivative Corrected Black Holes: Perturbative Stability and Absorption Cross-Section in Heterotic String Theory

    F. Moura and R. Schiappa, “Higher-derivative corrected black holes: Perturbative stability and absorption cross-section in heterotic string theory,” Class. Quant. Grav.24(2007) 361–386, arXiv:hep-th/0605001

    work page Pith review arXiv 2007

  68. [68]

    Nojiri, S

    S. Nojiri, S. D. Odintsov, and V. K. Oikonomou, “Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution,”Phys. Rept.692 (2017) 1–104,arXiv:1705.11098 [gr-qc]

    work page arXiv 2017

  69. [69]

    Field Equations in Chern-Simons-Gauss-Bonnet Gravity,

    A. Ortega, T. Daniel, and S. M. Koushiappas, “Field Equations in Chern-Simons-Gauss-Bonnet Gravity,” arXiv:2411.05911 [gr-qc]

    work page arXiv

  70. [70]

    Antoniou, A

    G. Antoniou, A. Leh´ ebel, G. Ventagli, and T. P. Sotiriou, “Black hole scalarization with Gauss-Bonnet and Ricci scalar couplings,”Phys. Rev. D104no. 4, (2021) 044002,arXiv:2105.04479 [gr-qc]

    work page arXiv 2021

  71. [71]

    Measuring the ringdown scalar polarization of gravitational waves in Einstein-scalar-Gauss-Bonnet gravity,

    T. Evstafyeva, M. Agathos, and J. L. Ripley, “Measuring the ringdown scalar polarization of gravitational waves in Einstein-scalar-Gauss-Bonnet gravity,”Phys. Rev. D107no. 12, (2023) 124010, arXiv:2212.11359 [gr-qc]. 16

    work page arXiv 2023

  72. [72]

    3+1 nonlinear evolution of Ricci-coupled scalar-Gauss-Bonnet gravity,

    D. D. Doneva, L. Arest´ e Sal´ o, and S. S. Yazadjiev, “3+1 nonlinear evolution of Ricci-coupled scalar-Gauss-Bonnet gravity,”Phys. Rev. D110no. 2, (2024) 024040,arXiv:2404.15526 [gr-qc]

    work page arXiv 2024

  73. [73]

    Gravity and Scalar Fields,

    T. P. Sotiriou, “Gravity and Scalar Fields,” in Modifications of Einstein’s Theory of Gravity at Large Distances, E. Papantonopoulos, ed., pp. 3–24. Springer International Publishing, Cham, 2015

    work page 2015

  74. [74]

    C. M. Will,Theory and Experiment in Gravitational Physics. Cambridge University Press, 2 ed., 2018

    work page 2018

  75. [75]

    Second-order scalar-tensor field equations in a four-dimensional space,

    G. W. Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,”Int. J. Theor. Phys.10(1974) 363–384

    work page 1974

  76. [76]

    The galileon as a local modification of gravity

    A. Nicolis, R. Rattazzi, and E. Trincherini, “The Galileon as a local modification of gravity,”Phys. Rev. D79(2009) 064036,arXiv:0811.2197 [hep-th]

    work page Pith review arXiv 2009

  77. [77]

    Deffayet, G

    C. Deffayet, G. Esposito-Farese, and A. Vikman, “Covariant Galileon,”Phys. Rev. D79(2009) 084003, arXiv:0901.1314 [hep-th]

    work page arXiv 2009

  78. [78]

    Deffayet, S

    C. Deffayet, S. Deser, and G. Esposito-Farese, “Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress-tensors,”Phys. Rev. D80 (2009) 064015,arXiv:0906.1967 [gr-qc]

    work page arXiv 2009

  79. [79]

    A systematic approach to generalisations of General Relativity and their cosmological implications,

    L. Heisenberg, “A systematic approach to generalisations of General Relativity and their cosmological implications,”Phys. Rept.796(2019) 1–113,arXiv:1807.01725 [gr-qc]

    work page arXiv 2019

  80. [80]

    Horndeski theory and beyond: a review

    T. Kobayashi, “Horndeski theory and beyond: a review,”Rept. Prog. Phys.82no. 8, (2019) 086901, arXiv:1901.07183 [gr-qc]

    work page Pith review arXiv 2019

Showing first 80 references.