A generalized Kerr-Schild solution of Einstein's equations

Vaidya, P. C. (1974) A generalized Kerr-Schild solution of Einstein's equations Mathematical Proceedings of the Cambridge Philosophical Society, 75 (3). pp. 383-390. ISSN 0305-0041

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Official URL: http://journals.cambridge.org/action/displayAbstra...

Related URL: http://dx.doi.org/10.1017/S030500410004860X

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.

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