Exact greybody factors for the brane scalar field of five-dimensional rotating black holes

Young Hwan Hyun; Yoonbai Kim; Seong Chan Park

doi:10.1007/JHEP06(2019)041

Exact greybody factors for the brane scalar field of five-dimensional rotating black holes

Young Hwan Hyun, Yoonbai Kim, Seong Chan Park

Department of Physics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We study scalar perturbations of the five-dimensional rotating black holes and find an exact solution giving exact description of the Hawking radiation. Mathematically, the full solution for this spin-zero field is expressed in terms of the prolate spheroidal wave function with complex parameters. By using the spheroidal joining factor, we write the corresponding boundary condition and greybody factors. We also check that the exact result reproduces the low frequency limit of the greybody factor and shows good agreement with the known numerical results.

Original language	English
Article number	41
Journal	Journal of High Energy Physics
Volume	2019
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2019)041
Publication status	Published - 2019 Jun 1

Bibliographical note

Funding Information:
Y.-H. Hyun, Y. Kim, and S.C. Park are supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (Grant No. NRF-2018R1D1A1B07049514, NRF-2016R1D1A1B03931090, and NRF-2016R1A2B2016112 & NRF-2018R1A4A1025334, respectively). Y.-H. Hyun is also supported by the Korea Institute of Science and Technology Information (K-18-L12-C08-S01).

Publisher Copyright:
© 2019, The Author(s).

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1007/JHEP06(2019)041

Cite this

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abstract = "We study scalar perturbations of the five-dimensional rotating black holes and find an exact solution giving exact description of the Hawking radiation. Mathematically, the full solution for this spin-zero field is expressed in terms of the prolate spheroidal wave function with complex parameters. By using the spheroidal joining factor, we write the corresponding boundary condition and greybody factors. We also check that the exact result reproduces the low frequency limit of the greybody factor and shows good agreement with the known numerical results.",

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N2 - We study scalar perturbations of the five-dimensional rotating black holes and find an exact solution giving exact description of the Hawking radiation. Mathematically, the full solution for this spin-zero field is expressed in terms of the prolate spheroidal wave function with complex parameters. By using the spheroidal joining factor, we write the corresponding boundary condition and greybody factors. We also check that the exact result reproduces the low frequency limit of the greybody factor and shows good agreement with the known numerical results.

AB - We study scalar perturbations of the five-dimensional rotating black holes and find an exact solution giving exact description of the Hawking radiation. Mathematically, the full solution for this spin-zero field is expressed in terms of the prolate spheroidal wave function with complex parameters. By using the spheroidal joining factor, we write the corresponding boundary condition and greybody factors. We also check that the exact result reproduces the low frequency limit of the greybody factor and shows good agreement with the known numerical results.

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Exact greybody factors for the brane scalar field of five-dimensional rotating black holes

Abstract

Bibliographical note

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