On the Exact Solutions of the Regge-Wheeler Equation in the Schwarzschild Black Hole Interior
Abstract
Description
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.
12 pages, latex file, 5 figures, changes in the title, new section, new comments, new references and new acknowledgments added
12 pages, latex file, 5 figures, changes in the title, new section, new comments, new references and new acknowledgments added