Phase diagrams of quasinormal frequencies for Schwarzschild, Kerr, and Taub-NUT black holes

Fuente: arXiv
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Autores principales: Lan, Chen, Li, Meng-Hu, Miao, Yan-Gang
Formato: Preprint
Publicado: 2023
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author Lan, Chen
Li, Meng-Hu
Miao, Yan-Gang
author_facet Lan, Chen
Li, Meng-Hu
Miao, Yan-Gang
contents The Newman-Janis algorithm, which involves complex-coordinate transformations, establishes connections between static and spherically symmetric black holes and rotating and/or axially symmetric ones, such as between Schwarzschild black holes and Kerr black holes, and between Schwarzschild black holes and Taub-NUT black holes. However, the transformations in the two samples are based on different physical mechanisms. The former connection arises from the exponentiation of spin operators, while the latter from a duality operation. In this paper, we mainly investigate how the connections manifest in the dynamics of black holes. Specifically, we focus on studying the correlations of quasinormal frequencies among Schwarzschild, Kerr, and Taub-NUT black holes. This analysis allows us to explore the physics of complex-coordinate transformations in the spectrum of quasinormal frequencies.
format Preprint
id arxiv_https___arxiv_org_abs_2312_05457
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Phase diagrams of quasinormal frequencies for Schwarzschild, Kerr, and Taub-NUT black holes
Lan, Chen
Li, Meng-Hu
Miao, Yan-Gang
General Relativity and Quantum Cosmology
High Energy Physics - Theory
The Newman-Janis algorithm, which involves complex-coordinate transformations, establishes connections between static and spherically symmetric black holes and rotating and/or axially symmetric ones, such as between Schwarzschild black holes and Kerr black holes, and between Schwarzschild black holes and Taub-NUT black holes. However, the transformations in the two samples are based on different physical mechanisms. The former connection arises from the exponentiation of spin operators, while the latter from a duality operation. In this paper, we mainly investigate how the connections manifest in the dynamics of black holes. Specifically, we focus on studying the correlations of quasinormal frequencies among Schwarzschild, Kerr, and Taub-NUT black holes. This analysis allows us to explore the physics of complex-coordinate transformations in the spectrum of quasinormal frequencies.
title Phase diagrams of quasinormal frequencies for Schwarzschild, Kerr, and Taub-NUT black holes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2312.05457