Perturbations of Kerr-de Sitter Black Hole and Heun's Equations

Details Perturbations of Kerr-de Sitter Black Hole and Heun's Equations Perturbations of Kerr-de Sitter Black Hole and Heun's Equations

1998-05-18

arxiv.org/abs/gr-qc/9805064v1

Prog.Theor.Phys. 100 (1998) 491-505

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LaTeX

Scientific paper

10.1143/PTP.100.491

It is well known that the perturbation equations of massless fields for the Kerr-de Sitter geometry can be written in the form of separable equations. The equations have five definite singularities so that the analysis has been expected to be difficult. We show that these equations can be transformed to Heun's equations, for which we are able to use known technique for the analysis of the solutions. We reproduce results known previously for the Kerr geometry and de Sitter geometry in the confluent limits of the Heun's functions. Our analysis applies can be extended to Kerr-Newman-de Sitter geometry for massless fields with spin 0 and 1/2.

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