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Testing post-Newtonian theory with gravitational wave observations
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The Laser Interferometric Space Antenna (LISA) will observe supermassive black hole binary mergers with amplitude signal-to-noise ratio of several thousands. We investigate the extent to which such observations afford high-precision tests of Einstein's gravity. We show that LISA provides a unique opportunity to probe the non-linear structure of post-Newtonian theory both in the context of general relativity and its alternatives.
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Cited by 12 Pith papers
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Tests of general relativity at the fourth post-Newtonian order with GW230627 and GW250114
Bayesian analysis of GW230627 and GW250114 finds no deviation from GR at 4PN and 4.5PN orders, setting the first empirical baseline with 90% intervals of order O(1)-O(10).
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Impact of numerical-relativity waveform calibration on parametrized post-Einsteinian tests
NR late-inspiral calibration systematics in IMRPhenomD produce false ppE GR violations at O5 SNRs ≳60; an uncertainty-aware baseline restores consistency with GR up to SNR 330.
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Functional inference on deviations from General Relativity
GRANITA reconstructs functional, parameter-dependent deviations from General Relativity in gravitational-wave data using Gaussian process regression with free node values.
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A $\chi^2$ statistic for the identification of strongly lensed gravitational waves from compact binary coalescences
A chi-squared test built from gravitational wave search templates can separate lensed event pairs from unlensed pairs with accuracy comparable to slower Bayesian methods.
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Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
Binary black hole signals in GWTC-1 are consistent with general relativity predictions, with an improved graviton mass bound of mg ≤ 4.7 × 10^{-23} eV/c² at 90% credible level.
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Biases in Tests of General Relativity from Microlensed Gravitational-Wave Signals
Microlensing in the wave-optics regime can push standard LIGO-Virgo-KAGRA general-relativity tests to false ~4–4.5σ deviations, even for signals that are perfectly consistent with GR.
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Inspiral tests of general relativity and waveform geometry
The power of ppE-style GR tests comes from waveform geometry: GR parameter biases absorb most of any smooth phase deviation, and SVD finds the few orthogonal directions that remain.
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Neural Post-Einsteinian Test of General Relativity with the Third Gravitational-Wave Transient Catalog
Neural post-Einsteinian analysis of GWTC-3 finds no GR violation and sets constraints covering both post-Newtonian and beyond-post-Newtonian deviations in a single theory-agnostic setup.
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Tests of General Relativity with GW230529: a neutron star merging with a lower mass-gap compact object
Parameterized inspiral tests on GW230529 find consistency with GR, with |δφ̂_{-2}| ≲ 8×10^{-5} and ℓ_GB ≲ 0.51 M_⊙ in ESGB theories.
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Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
No evidence for deviations from general relativity is found in LIGO-Virgo binary black hole events, with improved constraints on waveform parameters, graviton mass, and ringdown properties.
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Probing missing physics from inspiralling compact binaries via time-frequency tracks
A new time-frequency consistency test, built by stacking pixel energies along scaled orbital frequency tracks, flags deviations from General Relativity in injections and in GW190814 when higher modes are omitted.
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The Science of the Einstein Telescope
The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.
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