Scalar perturbation around a rotating Kalb-Ramond BTZ black hole

Fuente: arXiv
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Main Authors: Xia, Zhong-Wu, Long, Sheng, Gong, Huajie, Pan, Qiyuan, Jing, Jiliang
Format: Preprint
Published: 2025
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author Xia, Zhong-Wu
Long, Sheng
Gong, Huajie
Pan, Qiyuan
Jing, Jiliang
author_facet Xia, Zhong-Wu
Long, Sheng
Gong, Huajie
Pan, Qiyuan
Jing, Jiliang
contents We investigate the scalar perturbation of a newly proposed Kalb-Ramond (KR) BTZ-like black hole. After the separation of variables for the Klein-Gordon equation, we find that the radial part reduces to the general Heun equation. Using the Heun function, we compute quasinormal modes (QNMs) subject to generic Robin boundary conditions, which shows that the KR parameter substantially modifies the QNM spectrum and only the fundamental mode on the left branch has an instability. To ascertain whether the instability is superradiant, we further analyze how the KR field changes the energy and angular momentum fluxes. Our results show that the KR parameter shifts the threshold and the range of the Robin coupling parameter where the superradiance occurs, underscoring the importance of the KR field in modeling black hole perturbations.
format Preprint
id arxiv_https___arxiv_org_abs_2511_00784
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scalar perturbation around a rotating Kalb-Ramond BTZ black hole
Xia, Zhong-Wu
Long, Sheng
Gong, Huajie
Pan, Qiyuan
Jing, Jiliang
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We investigate the scalar perturbation of a newly proposed Kalb-Ramond (KR) BTZ-like black hole. After the separation of variables for the Klein-Gordon equation, we find that the radial part reduces to the general Heun equation. Using the Heun function, we compute quasinormal modes (QNMs) subject to generic Robin boundary conditions, which shows that the KR parameter substantially modifies the QNM spectrum and only the fundamental mode on the left branch has an instability. To ascertain whether the instability is superradiant, we further analyze how the KR field changes the energy and angular momentum fluxes. Our results show that the KR parameter shifts the threshold and the range of the Robin coupling parameter where the superradiance occurs, underscoring the importance of the KR field in modeling black hole perturbations.
title Scalar perturbation around a rotating Kalb-Ramond BTZ black hole
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2511.00784