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Modelling self-consistently beyond General Relativity

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arxiv 2303.07246 v1 pith:BY25YUEU submitted 2023-03-13 gr-qc

Ramiro Cayuso , Pau Figueras , Tiago França , Luis Lehner This is my paper · ORCID
classification gr-qc
keywords beyondgeneralrelativitytheoryapproachblackcausechallenging
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The majority of extensions to General Relativity display mathematical pathologies (higher derivatives, character change in equations that can be classified within PDE theory, and even unclassifiable ones) that cause severe difficulties to study them, especially in dynamical regimes. We present here an approach that enables their consistent treatment and extraction of physical consequences. We illustrate this method in the context of single and merging black holes in a highly challenging beyond GR theory.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spherically symmetric solutions in quasi-local Einstein-Weyl gravity

    gr-qc 2025-12 conditional novelty 7.0 of 10

    In quasi-local Einstein-Weyl gravity, static spherically symmetric Frobenius solutions are classified: regular cores only, Schwarzschild-like horizons and wormhole throats, plus asymptotic 1/r^6 corrections to Schwarzschild.

  2. Signatures from metastable oppositely-charged black hole binaries in scalar Gauss-Bonnet gravity

    gr-qc 2025-05 conditional novelty 7.0 of 10

    In scalar Gauss-Bonnet gravity, inspiraling black holes with opposite scalar charges can undergo a sudden charge-flip, changing scalar radiation from dipolar to quadrupolar and inducing orbital eccentricity.

  3. Towards long and accurate numerical relativity waveforms of binary black holes beyond general relativity

    gr-qc 2026-07 conditional novelty 6.5 of 10

    Spectral methods plus comoving fixing-the-equations drivers yield 40+ cycle equal-mass sGB binary waveforms with phase error ≲1 rad, distinguishable from GR and merging earlier.

  4. Higher-derivative gravitational effective field theories are generically weakly hyperbolic

    gr-qc 2026-07 conditional novelty 6.5 of 10

    Any pure-metric higher-derivative gravity EFT with derivative-independent characteristics has a weakly hyperbolic physical spin-2 block that gauge fixing and constraint addition cannot remove.

  5. High-accuracy drivers to simulate black hole binaries beyond general relativity with the fixing-the-equations approach

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Comoving tensor-aware driver equations in SpECTRE yield ~40-cycle sGB binary waveforms with O(1) rad phase error and eccentricity ≲10^{-3}, free of spurious spin growth.

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