Quasinormal Modes from EFT of Black Hole Perturbations in Vector-Tensor Gravity

Fuente: arXiv
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Autori principali: Tomizuka, Shogo, Kobayashi, Hajime, Oshita, Naritaka, Takahashi, Kazufumi, Mukohyama, Shinji
Natura: Preprint
Pubblicazione: 2025
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author Tomizuka, Shogo
Kobayashi, Hajime
Oshita, Naritaka
Takahashi, Kazufumi
Mukohyama, Shinji
author_facet Tomizuka, Shogo
Kobayashi, Hajime
Oshita, Naritaka
Takahashi, Kazufumi
Mukohyama, Shinji
contents We study the dynamics of odd-parity perturbations on a static and spherically symmetric black hole background with a timelike vector field based on the effective field theory (EFT) approach. We derive the quadratic Lagrangian written in terms of two master variables, corresponding to the tensor and vector gravitons, which are coupled in general, while they can be decoupled on a stealth Schwarzschild(-de Sitter) background. For the stealth Schwarzschild background, we find that the quasinormal mode frequencies for both degrees of freedom are obtained from those in general relativity by simple scaling. Nonetheless, due to the fact that the metric perturbation is a non-trivial linear combination of the two degrees of freedom with different QNM spectra, the ringdown gravitational waves may exhibit characteristic modulation that can in principle be a signature of vector-tensor gravity.
format Preprint
id arxiv_https___arxiv_org_abs_2505_15125
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasinormal Modes from EFT of Black Hole Perturbations in Vector-Tensor Gravity
Tomizuka, Shogo
Kobayashi, Hajime
Oshita, Naritaka
Takahashi, Kazufumi
Mukohyama, Shinji
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
We study the dynamics of odd-parity perturbations on a static and spherically symmetric black hole background with a timelike vector field based on the effective field theory (EFT) approach. We derive the quadratic Lagrangian written in terms of two master variables, corresponding to the tensor and vector gravitons, which are coupled in general, while they can be decoupled on a stealth Schwarzschild(-de Sitter) background. For the stealth Schwarzschild background, we find that the quasinormal mode frequencies for both degrees of freedom are obtained from those in general relativity by simple scaling. Nonetheless, due to the fact that the metric perturbation is a non-trivial linear combination of the two degrees of freedom with different QNM spectra, the ringdown gravitational waves may exhibit characteristic modulation that can in principle be a signature of vector-tensor gravity.
title Quasinormal Modes from EFT of Black Hole Perturbations in Vector-Tensor Gravity
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2505.15125