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

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

Mar 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003phrvd..67f4021p&link_type=abstract

Physical Review D, vol. 67, Issue 6, id. 064021

Physics

1

Post-Newtonian Approximation, Perturbation Theory, Related Approximations, Physics Of Black Holes

Scientific paper

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.

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