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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1999 Volume 261, Pages 155–166 (Mi znsl1094)

This article is cited in 1 paper

The Einstein equations in the absence of matter fields on a 5-manifold with the causal structure

V. R. Krym

Sant-Petersburg State Agrarian University

Abstract: We consider a 5-manifold with restricted smooth structure and appropriate group of coordinate transfirmations which includes general relativity and gauge transformations. An explicit expression for the Riemannian curvature of a 4-dimensional vector distribution leads to classical Einstein and Maxwell equations.

UDC: 514.822

Received: 03.06.1999


 English version:
Journal of Mathematical Sciences (New York), 2002, 110:4, 2841–2847

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