Abstract
The static perfect fluid in Brans-Dicke theory with spherical symmetry and conformal flatness leads to a differential equation in terms of the scalar field only. We obtain a unique exact solution for the casep=ɛρ, but density and pressure are singular at the center. We further consider the metric corresponding to a static nonrotating space-time with two mutually orthogonal spacelike Killing vectors in Brans-Dicke theory. We obtain a differential equation involving only the scalar field for the equation of statep=ɛρ The general solution is found as a transcendental function. Finally, we generalize a theorem given by Bronnikov and Kovalchuk (1979) for perfect fluid in Einstein's theory.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Banerjee, A., and Bhattacharya, D. (1979).Journal of Mathematical Physics D,20, 1908.
Brans, C. H. (1962).Physical Review,125, 2194.
Bronnikov, K. A., and Kovalchuk, M. A. (1979),General Relativity and Gravitation,11, 343.
Bruckman, W. E., and Kazes, E. (1977).Physical Review D,16, 261.
Eisenhart, L. P. (1966).Riemannian Geometry, p. 90. Princeton University Press, Princeton, New Jersey.
Evans, A. B. (1977).Journal of Physics A,10, 1679.
Marder, A. (1958).Proceedings of the Royal Society London Series A, 244, 524.
Misner, C. W., and Zapolsky, H. S. (1964).Physical Review Letters,12, 635.
Schwarzschild, K. (1916).Sitzungsberichte der Preussischen Akademie der Wissenschaften, 424.
Tolman, R. C. (1939).Physical Review,55, 364.
Author information
Authors and Affiliations
Additional information
On leave from Jadavpur University, Calcutta-32, India.
Rights and permissions
About this article
Cite this article
Banerjee, A., Santos, N.O. Static perfect fluid in Brans-Dicke theory. Int J Theor Phys 20, 315–329 (1981). https://doi.org/10.1007/BF00669523
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00669523