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Author Singh, T.
Sponsorship USDOE
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword Physics (Theoretical)-Gravitation & General Relativity ♦ GENERAL RELATIVITY THEORY- EINSTEIN FIELD EQUATIONS ♦ ANALYTICAL SOLUTION ♦ MATHEMATICAL MODELS ♦ SCALARS ♦ TENSORS ♦ VACUUM STATES
Abstract The vacuum field equations of a scalar--tensor theory proposed by Sen and Dunn are investigated. The metric coefficients are assumed to be functions of three variables only. It is then shown that if one assumes a functional relationship between some one of the metric coefficients and the scalar function, one can find a solution of the vacuum field equations of Sen and Dunn's scalar-- tensor theory in terms of a solution of the vacuum field equations of Einstein's theory. This result is applied to some well-known solutions, viz., Schwarzschild solution, the static plane symmetric solution of Taub, the conformastat solution of Das, and the static axially symmetric solutions of Levi-Civita and Curzon; and the corresponding solutions of the scalar--tensor theory are obtained.
Educational Use Research
Learning Resource Type Article
Publisher Date 1975-10-01
Publisher Department Department of Mathematics, University of Gorakhpur, Gorakhpur 273001, India
Publisher Place United States
Journal J. Math. Phys.
Organization Department of Mathematics, University of Gorakhpur, Gorakhpur 273001, India


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