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.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2006
- DOI:
- arXiv:
- arXiv:gr-qc/0603003
- Bibcode:
- 2006gr.qc.....3003F
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 12 pages, latex file, 5 figures, changes in the title, new section, new comments, new references and new acknowledgments added