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

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BECAR COLLAO, RAMÓN ALENN
Becar, Ramon
Gonzalez, P. A.
Papantonopoulos, Eleftherios
Vasquez, Yerko
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10.1103/y33s-2hd1
Keywords
Alternative gravity theories - Classical black holes - General relativity equations & solutions - General relativity formalism
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Abstract
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 alpha gives rise to three branches of modes: the perturbative (in alpha) Schwarzschild branch, the perturbative (in alpha) dS branch, and a nonperturbative (in alpha) 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 nonperturbative dS branch of modes, absent when alpha 1/4 0, emerges as a novel feature of the Einstein-Gauss-Bonnet framework.
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Keywords
Alternative gravity theories , Classical black holes , General relativity equations & solutions , General relativity formalism
Citation
10.1103/y33s-2hd1