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A generalized Kerr-Schild solution of Einstein's equations

Published online by Cambridge University Press:  24 October 2008

P. C. Vaidya
P. C. Vaidya
Affiliation:
International Centre for Theoretical Physics, Trieste, Italy
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Abstract

A very general exact solution of Einstein's equation Rik = σξiξk, is given in terms of the Kerr-Schild metric, gik = ηij + Hξiξk, where ξi is a shearfree geodetic null congruence. The Kerr-Schild solution for Rik = 0 is derived as a particular case.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 3 , May 1974 , pp. 383 - 390
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

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