Spectroscopy of Kerr-AdS$_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation
Phys. Rev. D 106, 064025 (2022) We investigate quasinormal modes, greybody factor, and Hawking evaporation of a five-dimensional Kerr-anti de Sitter (AdS$_5$) black hole by solving a wave equation for a test massive scalar field in terms of the local Heun function. We clarify the distribution of the...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
15.06.2022
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Subjects | |
Online Access | Get full text |
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Summary: | Phys. Rev. D 106, 064025 (2022) We investigate quasinormal modes, greybody factor, and Hawking evaporation of
a five-dimensional Kerr-anti de Sitter (AdS$_5$) black hole by solving a wave
equation for a test massive scalar field in terms of the local Heun function.
We clarify the distribution of the quasinormal modes satisfying the ingoing and
decaying boundary conditions at the event horizon and conformal infinity,
respectively, and their splitting behaviors in the complex frequency plane with
respect to a variation of spin parameters. We also point out the existence of
purely imaginary modes. Further, we develop a method to extract in/outgoing
waves near the AdS boundary, which enables us to define the greybody factor for
a wide range of parameter space complementary to previous works. Using the
greybody factor, we compute evaporation rates for mass and spins for the
Kerr-AdS$_5$ black hole via the Hawking radiation of the scalar field. |
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DOI: | 10.48550/arxiv.2206.07721 |