Construction of Metric and Vector Potential Perturbations of a Reissner Nordstrom Black Hole
Abstract
When an appropriate decoupling of variables in a coupled linear system of partial differential equations is obtained, a recently described procedure enables one to construct solutions to the full coupled system of equations. We employ this procedure here to generate solutions of the linearized EinsteinMaxwell equations describing perturbations of a ReissnerNordstrom black hole, using Chandrasekhar's recent decoupling of these equations. Explicit formulae are given for the metric and vector potential perturbations for each parity type.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 December 1979
 DOI:
 10.1098/rspa.1979.0152
 Bibcode:
 1979RSPSA.369...67W
 Keywords:

 Astronomical Models;
 Black Holes (Astronomy);
 Gravitation Theory;
 Perturbation Theory;
 Chandrasekhar Equation;
 Einstein Equations;
 Linear Systems;
 Maxwell Equation;
 Partial Differential Equations;
 Vectors (Mathematics);
 Astrophysics;
 ASTRONOMICAL MODELS;
 BLACK HOLES (ASTRONOMY);
 GRAVITATION THEORY;
 PERTURBATION THEORY;
 CHANDRASEKHAR EQUATION;
 EINSTEIN EQUATIONS;
 LINEAR SYSTEMS;
 MAXWELL EQUATION;
 PARTIAL DIFFERENTIAL EQUATIONS;
 VECTORS (MATHEMATICS)