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.
Bibliographical noteFunding 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).
© 2019, The Author(s).
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics