Exact solution of non-minimally coupled massive Klein-Gordon equation in Schwarzschild star metric expressed via general Heun function after geometry-induced coordinate transformation.
and Umetsu, H., Prog
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abstract
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.
fields
gr-qc 2representative citing papers
This review surveys calculations and interpretations of quasinormal modes for black holes in astrophysics, higher dimensions, and holographic duals without presenting new results.
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Exact Solution of the Non-minimally Coupled Klein-Gordon Equation in the Schwarzschild Star
Exact solution of non-minimally coupled massive Klein-Gordon equation in Schwarzschild star metric expressed via general Heun function after geometry-induced coordinate transformation.
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Quasinormal modes of black holes: from astrophysics to string theory
This review surveys calculations and interpretations of quasinormal modes for black holes in astrophysics, higher dimensions, and holographic duals without presenting new results.