Solutions of a scalar--tensor theory from Einstein's theory
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.
- Research Organization:
- Department of Mathematics, University of Gorakhpur, Gorakhpur 273001, India
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-33-002251
- OSTI ID:
- 4167676
- Journal Information:
- J. Math. Phys. (N.Y.), v. 16, no. 10, pp. 2109-2111, Journal Name: J. Math. Phys. (N.Y.), v. 16, no. 10, pp. 2109-2111; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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