Abstract
Adding the cosmological term, which is assumed to be variable in Brans-Dicke theory we have discussed about a Bianchi type-I cosmological model filled with viscous fluid with free gravitational field of Petrov type-D. The effect of viscousity on various kinematical parameters has been discussed. Finally, this model has been transformed to the original form (1961) of Brans-Dicke theory including a variable cosmological term.
Similar content being viewed by others
References
Petrosian, V.: Symp. - Int. Astron. Union 63, 31 (1975)
Zel’dovich, Ya.B.: Sov. Phys. Usp. 11, 381 (1968)
Linde, A.D.: JETP Lett. 19, 183 (1974)
Drietlein, J.: Phys. Rev. Lett. 33, 1243 (1974)
Brans, C.H., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Fujii, Y.: Phys. Rev. D 9, 874 (1974)
Endo, M., Fukui, T.: Gen. Relativ. Gravit. 8, 833 (1977)
Dirac, P.A.M.: Nature 139, 323 (1937)
Dirac, P.A.M.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 1333, 403 (1973)
Ellis, G.F.R.: In: Sachs, R.K. (ed.) General Relativity and Cosmology. Academic Press, New York and London (1971)
Bergmann, P.G.: Int. J. Theor. Phys. 1, 25 (1968)
Wagoner, R.V.: Phys. Rev. D 1, 3209 (1970)
Landau, L.D., Lifshitz, E.M.: Fluid Mechanics. Pergamon, Oxford (1963)
Dicke, R.H.: Phys. Rev. 125, 2163 (1962)
Acknowledgements
We are very thankful to Prof. R.K. Prasad, Department of Mathematics, Veer Kunwar Singh University, Ara, Bihar for valuable discussions and corrections in the manuscript.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rai, P., Rai, L.N. & Singh, V.K. Bianchi Type-I Cosmological Model Filled with Viscous Fluid in a Modified Brans-Dicke Cosmology. Int J Theor Phys 51, 2127–2134 (2012). https://doi.org/10.1007/s10773-012-1092-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-012-1092-z