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

Fuente: arXiv
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Main Authors: Thaalba, Farid, Franchini, Nicola, Bezares, Miguel, Sotiriou, Thomas P.
Format: Preprint
Published: 2024
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author Thaalba, Farid
Franchini, Nicola
Bezares, Miguel
Sotiriou, Thomas P.
author_facet Thaalba, Farid
Franchini, Nicola
Bezares, Miguel
Sotiriou, Thomas P.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_16264
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hyperbolicity in scalar-Gauss-Bonnet gravity: a gauge invariant study for spherical evolution
Thaalba, Farid
Franchini, Nicola
Bezares, Miguel
Sotiriou, Thomas P.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
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.
title Hyperbolicity in scalar-Gauss-Bonnet gravity: a gauge invariant study for spherical evolution
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2410.16264