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July 24, 1978Physical Review Letters262 citations

Construction of Solutions of Gravitational, Electromagnetic, or Other Perturbation Equations from Solutions of Decoupled Equations

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RWRobert M. Wald

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Abstract

A simple proof is given of a general result which shows how to construct solutions of a coupled system of linear self-adjoint partial differential equations once one has succeeded in deriving a decoupled equation in the manner described below. In the case of electromagnetic and gravitational perturbations of algebraically special vacuum space-times, this procedure yields the formulas of Cohen and Kegeles and of Chrzanowski.

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Robert M. Wald (1978) studied this question.

synapsesocial.com/papers/6a15b1d6a2352da34782cc35https://doi.org/10.1103/physrevlett.41.203
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