Perturbations of Kerr-de Sitter Black Holes and Heun's Equations | Zendy

H. Suzuki | Zendy; Eiichi Takasugi | Zendy; H. Umetsu | Zendy

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

Author(s) -

H. Suzuki,

Eiichi Takasugi,

H. Umetsu

Publication year - 1998

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.100.491

Subject(s) - physics , massless particle , de sitter universe , mathematical physics , gravitational singularity , anti de sitter space , de sitter–schwarzschild metric , perturbation (astronomy) , classical mechanics , rotating black hole , quantum mechanics , universe , angular momentum

It is well known that the perturbation equations of massless fields for theKerr-de Sitter geometry can be written in the form of separable equations. Theequations have five definite singularities so that the analysis has beenexpected to be difficult. We show that these equations can be transformed toHeun's equations, for which we are able to use known technique for the analysisof the solutions. We reproduce results known previously for the Kerr geometryand de Sitter geometry in the confluent limits of the Heun's functions. Ouranalysis applies can be extended to Kerr-Newman-de Sitter geometry for masslessfields with spin 0 and 1/2.Comment: 17 pages, LaTe

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