Amalgamated Codazzi Raychaudhuri identity for foliation

Details Amalgamated Codazzi Raychaudhuri identity for foliation Amalgamated Codazzi Raychaudhuri identity for foliation

1997-05-13

arxiv.org/abs/hep-th/9705083v1

Contemp.Math.203:207-219,1997

Physics

High Energy Physics

High Energy Physics - Theory

9 pages Latex. Contribution to proceedings of the Penrose festschrift meeting `Geometric issues in the foundations of science'

Scientific paper

It is shown how a pure background tensor formalism provides a concise but explicit and highly flexible machinery for the generalised curvature analysis of individual embedded surfaces and foliations such as arise in the theory of topological defects in cosmological and other physical contexts. The unified treatment provided here shows how the relevant extension of the Raychaudhuri identity is related to the correspondingly extended Codazzi identity.

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