Brinkman's theorem in general relativity and non-Riemannian field theories

Details Brinkman's theorem in general relativity and non-Riemannian field theories Brinkman's theorem in general relativity and non-Riemannian field theories

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..767m&link_type=abstract

General Relativity and Gravitation, Volume 12, Issue 9, pp.767-773

Physics

2

Scientific paper

A theorem due to Brinkman states that, given a solution of the vacuum general relativistic field equations, it is never possible to generate a further solution by means of a nontrivial conformal transformation. It is pointed out here that there are exceptions to this result. The discussion is then extended to the nonsymmetric unified field theory, and the circumstances under which this theory admits a rigidly valid analog of Brinkman's theorem are investigated.

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