Quasinormal modes of Kerr–de Sitter black holes via the Heun function
Yasuyuki Hatsuda
Abstract
Abstract This note addresses quasinormal mode (QNM) 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 QNM 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.
Topics & Concepts
PhysicsMathematical physicsDe Sitter universeBlack hole (networking)Function (biology)Mode (computer interface)Classical mechanicsQuantum mechanicsComputer scienceUniverseComputer networkLink-state routing protocolEvolutionary biologyOperating systemRouting protocolBiologyRouting (electronic design automation)Pulsars and Gravitational Waves ResearchBlack Holes and Theoretical PhysicsAstrophysical Phenomena and Observations