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

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.

arXiv comment12 pages, latex file, 5 figures, changes in the title, new section, new comments, new references and new acknowledgments added

References in corpus (3)

• Challenging the paradigm of singularity excision in gravitational collapse
• Information Recovery From Black Holes
• Black hole quasinormal modes: hints of quantum gravity?

Cited by in corpus (7)

• Classes of Exact Solutions to the Teukolsky Master Equation
• Exact Gravitational Quasinormal Frequencies of Topological Black Holes
• Exact Solutions of Teukolsky Master Equation with Continuous Spectrum
• The Spectrum of Electromagnetic Jets from Kerr Black Holes and Naked Singularities in the Teukolsky Perturbation Theory
• Classes of Exact Solutions to Regge-Wheeler and Teukolsky Equations
• Analytical and numerical treatment of perturbed black holes in horizon-penetrating coordinates
• Greybody factors for Schwarzschild black holes: Path-ordered exponentials and product integrals