Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes

Fuente: arXiv
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Autores principales: Bécar, Ramón, González, P. A., Papantonopoulos, Eleftherios, Vásquez, Yerko
Formato: Preprint
Publicado: 2025
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author Bécar, Ramón
González, P. A.
Papantonopoulos, Eleftherios
Vásquez, Yerko
author_facet Bécar, Ramón
González, P. A.
Papantonopoulos, Eleftherios
Vásquez, Yerko
contents We investigate the propagation of massive scalar fields in the background of four-dimensional Einstein-Gauss-Bonnet black holes with de Sitter (dS) asymptotics. Our study focuses on the various branches of quasinormal modes present in this background, employing the pseudospectral Chebyshev method and the third-order Wentzel-Kramers-Brillouin approximation. We identify that the introduction of the Gauss-Bonnet coupling constant $α$ gives rise to three branches of modes: the perturbative (in $α$) Schwarzschild branch, the perturbative (in $α$) dS branch, and a non-perturbative (in $α$) dS branch. Our results show that the propagation of a massive scalar field is stable in this background. Furthermore, the Gauss-Bonnet coupling constant induces significant deviations in the Schwarzschild branch and smaller deviations in the perturbative dS branch compared to the corresponding branches in the Schwarzschild-dS limit. Additionally, the non-perturbative dS branch of modes, absent when $α=0$, emerges as a novel feature of the Einstein-Gauss-Bonnet framework.
format Preprint
id arxiv_https___arxiv_org_abs_2505_17161
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes
Bécar, Ramón
González, P. A.
Papantonopoulos, Eleftherios
Vásquez, Yerko
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We investigate the propagation of massive scalar fields in the background of four-dimensional Einstein-Gauss-Bonnet black holes with de Sitter (dS) asymptotics. Our study focuses on the various branches of quasinormal modes present in this background, employing the pseudospectral Chebyshev method and the third-order Wentzel-Kramers-Brillouin approximation. We identify that the introduction of the Gauss-Bonnet coupling constant $α$ gives rise to three branches of modes: the perturbative (in $α$) Schwarzschild branch, the perturbative (in $α$) dS branch, and a non-perturbative (in $α$) dS branch. Our results show that the propagation of a massive scalar field is stable in this background. Furthermore, the Gauss-Bonnet coupling constant induces significant deviations in the Schwarzschild branch and smaller deviations in the perturbative dS branch compared to the corresponding branches in the Schwarzschild-dS limit. Additionally, the non-perturbative dS branch of modes, absent when $α=0$, emerges as a novel feature of the Einstein-Gauss-Bonnet framework.
title Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.17161