Gravitational and electromagnetic perturbations of the Reissner-Nordstrom solution

Mathematics – Complex Variables

Scientific paper

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Complex Variables, Electromagnetism, Gravitation Theory, Perturbation Theory, Black Holes (Astronomy), Coupled Modes, Einstein Equations, Partial Differential Equations, Vector Analysis

Scientific paper

The coupled gravitational and electromagnetic perturbations of the Reissner-Nordstrom solution are obtained by means of complex potentials. The complete metric and vector potential perturbations are given in terms of the first derivatives of a set of potentials which obeys a system of four first-order linear partial differential equations that can be solved by separation of variables.

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