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

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

2006-03-02

arxiv.org/abs/gr-qc/0603003v4

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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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