Odd-parity perturbations in the most general scalar-vector-tensor theory
General Relativity and Quantum Cosmology
2023-04-06 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
In the context of the most general scalar-vector-tensor theory, we study the stability of static spherically symmetric black holes under linear odd-parity perturbations. We calculate the action to second order in the linear perturbations to derive a master equation for these perturbations. For this general class of models, we obtain the conditions of no-ghost and Laplacian instability. Then, we study in detail the generalized Regge-Wheeler potential of particular cases to find their stability conditions.
Cite
@article{arxiv.2209.07555,
title = {Odd-parity perturbations in the most general scalar-vector-tensor theory},
author = {Yolbeiker Rodríguez Baez and Manuel Gonzalez-Espinoza},
journal= {arXiv preprint arXiv:2209.07555},
year = {2023}
}
Comments
22 pages, Mathematica Notebook, Added some comments, Published in Classical and Quantum Gravity