Matrix WKB method for black hole normal modes and quasibound states
- 1 September 1992
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 9 (9) , 2039-2055
- https://doi.org/10.1088/0264-9381/9/9/009
Abstract
A complex matrix WKB approach is applied to study the black hole normal modes and quasibound states problems. In contrast to the standard WKB scheme no asymptotic expansions are used at any stage of the calculations. New quantization formulae are derived which allow for subsequent perturbative calculations to be made in terms of convergent expansions with controlled accuracy. Earlier WKB results are obtained in the lower order approximations of the present approach.Keywords
This publication has 19 references indexed in Scilit:
- Quasinormal modes of Reissner-Nordström black holesPhysical Review D, 1990
- Excitation of Schwarzschild quasinormal modes by collapsePhysical Review D, 1990
- Excitation of quasinormal ringing of a Schwarzschild black holePhysical Review D, 1988
- Cluster-expansion method for the infinite-range quantum transverse Ising spin-glass modelPhysical Review B, 1988
- Black-hole normal modes: A WKB approach. II. Schwarzschild black holesPhysical Review D, 1987
- Black-hole normal modes: A WKB approach. I. Foundations and application of a higher-order WKB analysis of potential-barrier scatteringPhysical Review D, 1987
- Analyzing power of(n→,n) at 14 and 17 MeV and the isospin dependence of the optical model potentialPhysical Review C, 1986
- An analytic representation for the quasi-normal modes of Kerr black holesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1985
- The quasi-normal modes of the Schwarzschild black holeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1975
- Scattering of Gravitational Radiation by a Schwarzschild Black-holeNature, 1970