Some electrovac models of homogeneous gravitational force fields in general relativity

Srinivasa Rao, K. N. and Gopala Rao, A. V. (1979) Some electrovac models of homogeneous gravitational force fields in general relativity. Journal of mathematical physics, 21 (8). pp. 2261-2268. ISSN 0022-2488

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Abstract

In this paper we consider the problem of defining and constructing the general relativistic analog of the Newtonian homogeneous gravitational force field. With this purpose, the Newtonian definition of homogeneity is first reformulated in a manner suitable for nonflat space sections and is then shown to lead to a covariant characterization of static space-times admitting uniform gravitational force fields. This covariant characterization is both necessary and sufficient and is consistent with the necessary conditions of homogeneity introduced by Goodinson. Further, a whole class of static solutions of the Einstein-Maxwell equations, all admitting homogeneous gravitational force fields, is obtained and some of their properties are discussed. In particular, this class of electrovac solutions appears to exhibit the remarkable property that the metrics and the source electromagnetic fields are free of singularities.

Item Type: Article
Subjects: D Physical Science > Physics
Divisions: Department of > Physics
Depositing User: Dhruva Kumar
Date Deposited: 27 May 2021 06:37
Last Modified: 27 May 2021 06:37
URI: http://eprints.uni-mysore.ac.in/id/eprint/13899

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