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Phys. Rev. Lett. 41, 203–206 (1978)

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

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Robert M. Wald
Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637

Received 15 May 1978; published in the issue dated 24 July 1978

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.

© 1978 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.41.203
DOI:
10.1103/PhysRevLett.41.203
PACS: