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Phys. Rev. D 67, 064021 (2003) [6 pages]

Explicit solutions to the time-independent perturbation equations of the Reissner-Nordström geometry

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Herbert Pfister*
Institute of Theoretical Physics, University of Tübingen, D–72076 Tübingen, Germany

Received 31 October 2002; published 28 March 2003

It is proven that the equations for the time-independent, negative-parity, gravitational and electromagnetic perturbations of the Reissner-Nordström geometry have (for each angular momentum) one solution in the form of a finite power series in the (Schwarzschild-like) radial coordinate r. The explicit form of these solutions is given. Therefrom the second fundamental solutions of these equations, and the positive-parity perturbations, can also be constructed explicitly.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.064021
DOI:
10.1103/PhysRevD.67.064021
PACS:
04.25.Nx, 04.70.-s

*Electronic address: herbert.pfister@uni-tuebingen.de