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

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

2005-09-30

arxiv.org/abs/gr-qc/0509123v5

Class.Quant.Grav. 23 (2006) 2447-2468

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex file, 25 pages, 4 figures, new references, new results and new Appendix added, some comments and corrections in the text

Scientific paper

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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