Metric and electromagnetic perturbations of the Reissner-Nordstrom black hole

Details Metric and electromagnetic perturbations of the Reissner-Nordstrom black hole Metric and electromagnetic perturbations of the Reissner-Nordstrom black hole

Sep 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981rspsa.378...73x&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 378, no. 1772, Sept. 2, 1981, p. 73-88.

Astronomy and Astrophysics

Astronomy

8

Black Holes (Astronomy), Perturbation Theory, Reissner-Nordstrom Solution, Astronomical Models, Differential Equations, Electromagnetic Radiation, Metric Space, Operators (Mathematics)

Scientific paper

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-Nordstrom 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-Nordstrom 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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