Metric and electromagnetic perturbations of the Reissner-Nordström black hole
- 11 September 1981
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 378 (1772) , 73-88
- https://doi.org/10.1098/rspa.1981.0142
Abstract
A method, developed for the study of reducible systems of differential equations, is applied to the study of the metric and electromagnetic perturbations of the Reissner-Nordström black hole. All the perturbed quantities are expressed in terms of two functions which satisfy the Zerilli-Moncrief equations. A simple particular solution, expressed in terms of elementary functions, is obtained, providing an explanation for the reducibility of the Reissner-Nordström perturbation equations to the Zerilli-Moncrief equations. A presentation of the perturbation theory is suggested that avoids the traditional distinction between even- and odd-parity perturbations.Keywords
This publication has 25 references indexed in Scilit:
- On one-dimensional potential barriers having equal reflexion and transmission coefficientsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1980
- On the metric perturbations of the Reissner–Nordström black holeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1979
- On the equations governing the perturbations of the Reissner–Nordström black holeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1979
- The gravitational perturbations of the Kerr black hole III. Further amplificationsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1979
- The gravitational perturbations of the Kerr black hole. II. The perturbations in the quantities which are finite in the stationary stateProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Perturbations of charged black holesPhysical Review D, 1976
- The quasi-normal modes of the Schwarzschild black holeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1975
- Vector potential and metric perturbations of a rotating black holePhysical Review D, 1975
- Electromagnetic fields in curved spaces: A constructive procedurePhysical Review D, 1974
- On the Stability of Axisymmetric Systems to Axisymmetric Perturbations in General Relativity, I. The Equations Governing Nonstationary, and Perturbed SystemsThe Astrophysical Journal, 1972