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Hyperbolicity in scalar-Gauss-Bonnet gravity: a gauge invariant study for spherical evolution

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arxiv 2410.16264 v1 pith:A3V5SMD3 submitted 2024-10-21 gr-qc hep-th

Farid Thaalba , Nicola Franchini , Miguel Bezares , Thomas P. Sotiriou This is my paper · ORCID
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keywords evolutionadditionalapproachbehaviourgauge-invariantgravityhyperbolicityscalar-gauss-bonnet
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We study spherical evolution in scalar-Gauss-Bonnet gravity with additional Ricci coupling and use the gauge-invariant approach of Ref.~\cite{Reall:2021voz} to track well-posedness. Our results show that loss of hyperbolicity when it occurs, is due to the behaviour of physical degrees of freedom. They provide further support to the idea that this behaviour can be tamed by additional interactions of scalar. We also point out a limitation of this gauge-invariant approach: the fact that field redefinitions can change the character of the evolution equations.

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Cited by 3 Pith papers

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

  1. 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.

  2. Challenges in the nonlinear evolution of unequal mass binaries in sGB gravity

    gr-qc 2025-07 conditional novelty 6.0 of 10

    First full merger simulations of 2:1 and 3:1 black hole binaries in scalar-Gauss-Bonnet gravity, with weak-coupling dephasing matching PN predictions but strong-coupling results limited by initial-data transients.

  3. Inflaton Dynamics in Higher-Derivative Scalar-Tensor Theories of Gravity

    gr-qc 2025-05 conditional novelty 6.0 of 10

    In the weakly coupled regime of a four-derivative scalar-tensor theory, large inflationary inhomogeneities decay just as in general relativity, and only finely tuned initial data can escape the effective field theory'...

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