Abstract
When Brans and Dicke published their alternative gravitational framework, they proved that it led to Machian solutions in the static case, and for a pressureless (dust) Euclidean universe. We extend their demonstration to Euclidean and non-Euclidean models with non-null pressure, employing the perfect fluid model. We findρ andp both ∝G.
Similar content being viewed by others
References
Brans, C., and Dicke, R. H. (1961).Phys. Rev.,124, 203.
Whitrow, G. (1946).Nature,158, 165. Whitrow, G., and Randall, D. (1951).MN-RAS,111, 455.
Sciama, D. W. (1953).MNRAS,113, 34.
Berman, M. S. (1983).Nuovo Cimento,74B, 182.
Weinberg, S. (1971).Gravitation and Cosmology (Wiley, New York) p.263.
Berman, M. S., and Gomide, F. M. (1988).Gen. Rel. Grav.,20, 191.
Morganstern, R. E. (1971).Phys. Rev. D,4, 278.
Whittaker, J. M. (1966).Nature,209, 491.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Berman, M.S., Som, M.M. Whitrow-Randall's relation and Brans-Dicke cosmology. Gen Relat Gravit 22, 625–629 (1990). https://doi.org/10.1007/BF00755983
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00755983