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Einstein Equations on a 5-Manifold with a Causal Structure in the Absence of Matter Fields

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Abstract

A 5-manifold with a restricted smooth structure and an appropriate group of coordinate transformations including general relativity and gauge transformations is considered. An explicit expression for the Riemannian curvature of a 4-dimensional vector distribution is obtained, which implies the classical Einstein and Maxwell equations. Bibliography: 14 titles.

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  1. St.Petersburg State Agrarian University, Russia

    V. R. Krym

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  1. V. R. Krym
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Krym, V.R. Einstein Equations on a 5-Manifold with a Causal Structure in the Absence of Matter Fields. Journal of Mathematical Sciences 110, 2841–2847 (2002). https://doi.org/10.1023/A:1015358530515

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  • DOI: https://doi.org/10.1023/A:1015358530515

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