Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 23, Issue 7, Pages 2447-2468Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/23/7/015
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The well-known Regge-Wheeler equation describes the axial perturbations of the Schwarzschild metric in the linear approximation. From a mathematical point of view it presents a particular case of the confluent Heun equation and can be solved exactly, due to recent mathematical developments. We present the basic properties of its general solution. A novel analytical approach and numerical techniques to study the boundary problems which correspond to quasi-normal modes of black holes and other simple models of compact objects are developed.
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