Some remarks on the symmetries of the curvature and Weyl tensors

Details Some remarks on the symmetries of the curvature and Weyl tensors Some remarks on the symmetries of the curvature and Weyl tensors

Jun 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cqgra..25l5008h&link_type=abstract

Classical and Quantum Gravity, Volume 25, Issue 12, pp. 125008 (2008).

Physics

5

Scientific paper

This paper considers the symmetries of the curvature tensor (curvature collineations) and of the Weyl conformal tensor (Weyl conformal collineations) in general relativity. Some general results are reviewed for later application, some new ones proved and many special cases are investigated. Particular emphasis is laid on the interrelations between these two types of symmetries. A number of instructive examples of such symmetries are given.

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