Quasinormal modes of Kerr-de Sitter black holes via the Heun function
General Relativity and Quantum Cosmology
2021-02-03 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
This note addresses quasinormal mode frequencies of four-dimensional asymptotically de Sitter rotating black holes. The main motivation is that Mathematica 12.1 has implemented a new family of special functions: Heun functions. Using the fact that Teukolsky's equations for Kerr-de Sitter black holes are mapped to Heun's equations, we are able to compute their quasinormal mode frequencies by the Heun function. In this approach, Mathematica normally evaluates these frequencies to arbitrary numerical precision in a few seconds. We further discuss an application to asymptotically flat rotating black holes.
Keywords
Cite
@article{arxiv.2006.08957,
title = {Quasinormal modes of Kerr-de Sitter black holes via the Heun function},
author = {Yasuyuki Hatsuda},
journal= {arXiv preprint arXiv:2006.08957},
year = {2021}
}
Comments
12 pages; A sample Mathematica notebook available, v2: References added