(Quasi-)normal modes of rotating black holes and new solitons in Einstein-Gauss-Bonnet

Fuente: arXiv
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Autores principales: Tapia, Lilianne, Aguayo, Monserrat, Anabalón, Andrés, Astefanesei, Dumitru, Grandi, Nicolás, Izaurieta, Fernando, Oliva, Julio, Quinzacara, Cristian
Formato: Preprint
Publicado: 2024
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author Tapia, Lilianne
Aguayo, Monserrat
Anabalón, Andrés
Astefanesei, Dumitru
Grandi, Nicolás
Izaurieta, Fernando
Oliva, Julio
Quinzacara, Cristian
author_facet Tapia, Lilianne
Aguayo, Monserrat
Anabalón, Andrés
Astefanesei, Dumitru
Grandi, Nicolás
Izaurieta, Fernando
Oliva, Julio
Quinzacara, Cristian
contents In this paper, we analyze the scalar field (quasi-)normal modes of recently derived rotating black holes within the framework of Einstein-Gauss-Bonnet theory at the Chern-Simons point in five dimensions. We also examine the mode spectrum of these probes on new static gravitational solitons. These solitons, featuring a regular center, are constructed from static black holes with gravitational hair via a double analytic continuation. By imposing ingoing boundary conditions at the horizons of rotating black holes, ensuring regularity at the soliton centers, and imposing Dirichlet boundary conditions at infinity, we obtain numerical spectra for the rotating black holes and solitons. For static black holes, we demonstrate analytically that the imaginary part of the mode frequencies is negative. Our analysis of the massless Klein-Gordon equation on five-dimensional geometries reveals an infinite family of gaped, massive three-dimensional Klein-Gordon fields, despite the presence of a non-compact extended direction. For the static solitons, the frequencies are real and non-equispaced, whereas in the rotating black holes, counter-rotating modes are absorbed more quickly, and the imaginary part of the co-rotating modes approaches zero as extremality is approached. Additionally, we show that both the rotating black holes and solitons can be equipped with non-trivial torsion, leading to a novel branch of solutions.
format Preprint
id arxiv_https___arxiv_org_abs_2411_08001
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle (Quasi-)normal modes of rotating black holes and new solitons in Einstein-Gauss-Bonnet
Tapia, Lilianne
Aguayo, Monserrat
Anabalón, Andrés
Astefanesei, Dumitru
Grandi, Nicolás
Izaurieta, Fernando
Oliva, Julio
Quinzacara, Cristian
High Energy Physics - Theory
General Relativity and Quantum Cosmology
In this paper, we analyze the scalar field (quasi-)normal modes of recently derived rotating black holes within the framework of Einstein-Gauss-Bonnet theory at the Chern-Simons point in five dimensions. We also examine the mode spectrum of these probes on new static gravitational solitons. These solitons, featuring a regular center, are constructed from static black holes with gravitational hair via a double analytic continuation. By imposing ingoing boundary conditions at the horizons of rotating black holes, ensuring regularity at the soliton centers, and imposing Dirichlet boundary conditions at infinity, we obtain numerical spectra for the rotating black holes and solitons. For static black holes, we demonstrate analytically that the imaginary part of the mode frequencies is negative. Our analysis of the massless Klein-Gordon equation on five-dimensional geometries reveals an infinite family of gaped, massive three-dimensional Klein-Gordon fields, despite the presence of a non-compact extended direction. For the static solitons, the frequencies are real and non-equispaced, whereas in the rotating black holes, counter-rotating modes are absorbed more quickly, and the imaginary part of the co-rotating modes approaches zero as extremality is approached. Additionally, we show that both the rotating black holes and solitons can be equipped with non-trivial torsion, leading to a novel branch of solutions.
title (Quasi-)normal modes of rotating black holes and new solitons in Einstein-Gauss-Bonnet
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2411.08001