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On the Exact Solutions of the Regge-Wheeler Equation in the Schwarzschild Black Hole Interior

Plamen P. Fiziev
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Abstract

We solve exactly the Regge-Wheeler equation for axial perturbations of the Schwarzschild metric in the black hole interior in terms of Heun functions and give a description of the spectrum and the eigenfunctions of the interior problem. The phenomenon of attraction and repulsion of the discrete eigenvalues of gravitational waves is discovered.

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Plamen P. Fiziev. 2006-09-11. On the Exact Solutions of the Regge-Wheeler Equation in the Schwarzschild Black Hole Interior. https://arxiv.org/abs/gr-qc/0603003

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