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

@article{McInnes1980BrinkmansTI,
  title={Brinkman's theorem in general relativity and non-Riemannian field theories},
  author={Brett McInnes},
  journal={General Relativity and Gravitation},
  year={1980},
  volume={12},
  pages={767-773}
}
  • B. McInnes
  • Published 1 September 1980
  • Mathematics, Physics
  • General Relativity and Gravitation
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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