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Main Authors: Huang, Zi-Yang, Huang, Jia-Hui
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.11764
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author Huang, Zi-Yang
Huang, Jia-Hui
author_facet Huang, Zi-Yang
Huang, Jia-Hui
contents We investigate the quasinormal modes of massive scalar fields in the background of five-dimensional Myers-Perry black holes. In particular, we explore the case for Myers-Perry black holes with two arbitrary rotation parameters. Since the Klein-Gordon equation for the scalar field is separable, we numerically compute the scalar quasinormal modes by using the radial and angular equations. Two methods, the continued fraction method and matrix method, are used in the numerical calculation. We find that all obtained modes have negative imaginary parts and are decaying modes. We also consider the impact of the rotation parameters, scalar field mass $μ$ and azimuthal numbers on the scalar quasinormal modes. Besides, when the scalar mass $μ$ becomes relatively large, we also find the long-living scalar modes. Our numerical results also demonstrate the symmetries of the QNMs explicitly.
format Preprint
id arxiv_https___arxiv_org_abs_2502_11764
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasinormal modes of massive scalar fields in five-dimensional Myers-Perry black holes with two arbitrary rotation parameters
Huang, Zi-Yang
Huang, Jia-Hui
General Relativity and Quantum Cosmology
We investigate the quasinormal modes of massive scalar fields in the background of five-dimensional Myers-Perry black holes. In particular, we explore the case for Myers-Perry black holes with two arbitrary rotation parameters. Since the Klein-Gordon equation for the scalar field is separable, we numerically compute the scalar quasinormal modes by using the radial and angular equations. Two methods, the continued fraction method and matrix method, are used in the numerical calculation. We find that all obtained modes have negative imaginary parts and are decaying modes. We also consider the impact of the rotation parameters, scalar field mass $μ$ and azimuthal numbers on the scalar quasinormal modes. Besides, when the scalar mass $μ$ becomes relatively large, we also find the long-living scalar modes. Our numerical results also demonstrate the symmetries of the QNMs explicitly.
title Quasinormal modes of massive scalar fields in five-dimensional Myers-Perry black holes with two arbitrary rotation parameters
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2502.11764