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Exact Solutions of Regge-Wheeler Equation and Quasi-Normal Modes of Compact Objects

P. P. Fiziev
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Abstract

The well-known Regge-Wheeler equation describes the axial perturbations of Schwarzschild metric in the linear approximation. From a mathematical point of view it presents a particular case of the confluent Heun equation and can be solved exactly, due to recent mathematical developments. We present the basic properties of its general solution. A novel analytical approach and numerical techniques for study the boundary problems which correspond to quasi-normal modes of black holes and other simple models of compact objects are developed.

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P. P. Fiziev. 2006-03-16. Exact Solutions of Regge-Wheeler Equation and Quasi-Normal Modes of Compact Objects. https://doi.org/10.1088/0264-9381%2F23%2F7%2F015

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