The quasi-normal modes of the Schwarzschild black hole

Chandrasekhar, S. ; Detweiler, S. (1975) The quasi-normal modes of the Schwarzschild black hole Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 344 (1639). 441-452 . ISSN 0080-4630

Full text not available from this repository.

Official URL: http://www.jstor.org/pss/78902

Abstract

The quasi-normal modes of a black hole represent solutions of the relevant perturbation equations which satisfy the boundary conditions appropriate for purely outgoing (gravitational) waves at infinity and purely ingoing waves at the horizon. For the Schwarzschild black hole the problem reduces to one of finding such solutions for a one-dimensional wave equation (Zerilli's equation) for a potential which is positive everywhere and is of short-range. The notion of quasi-normal modes of such one-dimensional potential barriers is examined with two illustrative examples; and numerical solutions for Zerilli's potential are obtained by integrating the associated Riccati equation.

Item Type:Article
Source:Copyright of this article belongs to The Royal Society.
ID Code:70824
Deposited On:22 Nov 2011 04:42
Last Modified:22 Nov 2011 04:42

Repository Staff Only: item control page