Exact Solutions of Regge-Wheeler Equation
Abstract
Description
The Regge-Wheeler equation describes the axial perturbations of Schwarzschild metric in linear approximation. We present its exact solutions in terms of the confluent Heun's functions, the basic properties of the general solution, novel analytical approach and numerical techniques for study of different boundary problems which correspond to quasi-normal modes of black holes and other simple models of compact objects. We depict in more detail the exact solutions of Regge-Wheeler equation in the Schwarzschild black hole interior and on Kruscal-Szekeres manifold.
13 pages, 8 figures, latex file. Talk given at XXIV Spanish Relativity Meeting E.R.E. 2006, to appear in Journal of Physics, Conference Series
13 pages, 8 figures, latex file. Talk given at XXIV Spanish Relativity Meeting E.R.E. 2006, to appear in Journal of Physics, Conference Series