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Metric and Electromagnetic Perturbations of the Reissner-Nordström Black Hole

B. C. Xanthopoulos
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 378, No. 1772 (Sep. 11, 1981), pp. 73-88
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2397164
Page Count: 16
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Metric and Electromagnetic Perturbations of the Reissner-Nordström Black Hole
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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.

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