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General Relativity and Gravitation

, Volume 16, Issue 6, pp 569–587 | Cite as

Empty space-times of embedding class two

  • D. E. Hodgkinson
Research Articles

Abstract

Using the canonical forms for symmetric tensors in Minkowski space and the Petrov forms of the Weyl tensor, algebraic relationships between the two kinds of classification are developed for empty space-times of embedding class two.

Keywords

Differential Geometry Canonical Form Minkowski Space Symmetric Tensor Weyl Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Yakupov, M. Sh. (1973).Grav.: Teor. Otnos. Univ. Kazan,9, 109.Google Scholar
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    Barnes, A. (1974).Gen. Rel. Grav.,5, 147.Google Scholar
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    Backhouse, N. (private communication).Google Scholar
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    Kaigorodov, B. R., and Yakupov, M. Sh. (1968).Grav. Teor. Otnosit. Kazan Tern. Shorn, No. 4–5, p. 151–156.Google Scholar
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    Eisenhart,Riemannian Geometry (Princeton University Press, 1947).Google Scholar

Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • D. E. Hodgkinson
    • 1
  1. 1.Department of Applied Mathematics and Theoretical PhysicsThe UniversityLiverpoolEngland

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