Some electrovac models of homogeneous gravitational force fields in general relativity

Journal Article · Fri Aug 01 04:00:00 EDT 1980 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524663· OSTI ID:5205978

Srinivasa Rao, K N; Gopala Rao, A V

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.

• Research Organization: Department of Physics, University of Mysore, Manasagangotri, Mysore 570 006, India
• OSTI ID: 5205978
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 21:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EINSTEIN-MAXWELL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
METRICS
SPACE-TIME