Abstract
The Bianchi type-V cosmological model with viscous fluid and creation particle in Brans-Dicke theory has been considered. The present paper deals with Bianchi type-V cosmological model with bulk viscosity and particle creation described by full causal thermodynamics in Brans-Dicke theory. We have discussed two types of solutions of the average scale factor for a Bianchi type-V model by using a variation law of Hubble’s parameter, which yields a constant value of the deceleration parameter. The exact solutions to the corresponding field equations are obtained in quadrature form. The solutions to the Einstein field equations are obtained for power law and exponential form. The cosmological parameters have been discussed in detail.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Adhav, K.S., Nimkar, A.S., Holey, R.P.: Int. J. Theor. Phys. 46, 2396 (2007)
Barrow, J.D.: Nucl. Phys. B 310, 742 (1988)
Belinskii, V.A., Nikomarov, E.S., Khalatnikov, I.M.: Sov. Phys. JETP 50, 213 (1979)
Berman, M.S.: Nuovo Cimento B 74, 182 (1983)
Berman, M.S., Gomide, F.M.: Gen. Relativ. Gravit. 20, 191 (1988)
Birrell, N.D., Davies, P.C.W.: Quantum Fields in Curved Space. Cambridge Univ. Press, Cambridge (1982)
Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Brill, D.R.: Evidence for Gravitational Theories, Enricco Fermi Course XX, pp. 50–68. Academic Press, New York (1962)
Chaubey, R.: Astrophys. Space Sci. 321, 241 (2009)
Chimento, L.P.: Phys. Rev. D 69, 123517 (2004)
Collins, C.B., Hawking, S.W.: Astrophys. J. 180, 317 (1973)
Hill, H.A., et al.: Phys. Rev. Lett. 33, 1497 (1974)
Hu, B.L.: Phys. Lett. A 90, 375 (1982)
Johri, V.B., Sudharsan, R.: Phys. Lett. A 136, 316 (1988)
Jordan, P.: Scwerkraft and Weltall. Friedrich Vieweg and Sohn, Braunschweig (1955)
Jordan, P.: Z. Phys. 157, 112 (1959)
Kalyani, D.: Gen. Relativ. Gravit. 29, 435 (1997)
Land, K., Maguei, J.: Phys. Rev. Lett. 95, 071301 (2005)
Lima, J.A.S., Germano, A.S.M.: Phys. Lett. A 170, 373 (1992)
Maartens, R.: Class. Quantum Gravity 12, 455 (1995)
Maartens, R.: arXiv:astro-ph/9609119 (1996)
Misner, C.W.: Astrophys. J. 151, 431 (1968)
Murphy, G.L.: Phys. Rev. D 8, 4231 (1973)
Pavon, D., Bafaluy, J., Jou, D.: Class. Quantum Gravity 8, 357 (1991)
Prigogine, I., Geheniau, J., Nardone, P.: Gen. Relativ. Gravit. 21, 767 (1989)
Ram, S., Zeyauddin, M., Singh, C.P.: J. Geom. Phys. 60, 1671 (2010)
Rathore, G.S., Mandawat, K.: Astrophys. Space Sci. 321, 37 (2009)
Romano, V., Pavon, D.: Phys. Rev. D 47, 1396 (1993)
Santos, M.O., Dies, R.S., Benerjee, A.: J. Math. Phys. 26, 878 (1985)
Sen, A.A., Banerjee, N.: Mod. Phys. Lett. A 15, 1409 (2000)
Singh, T., Chaubey, R.: Int. J. Mod. Phys. D 15, 493 (2006a)
Singh, T., Chaubey, R.: Pramana J. Phys. 67, 415 (2006b)
Singh, T., Chaubey, R.: Pramana J. Phys. 68, 721 (2007a)
Singh, T., Chaubey, R.: Pramana J. Phys. 69, 159 (2007b)
Singh, T., Chaubey, R.: Astrophys. Space Sci. 318, 231 (2008)
Singh, T., Chaubey, R.: Proc. Nat. Acad. Sci. India, Sect. A Phys. Sci. 79, 71 (2009a)
Singh, T., Chaubey, R.: Astrophys. Space Sci. 319, 149 (2009b)
Singh, T., Chaubey, R.: Astrophys. Space Sci. 321, 5 (2009c)
Singh, T., Chaubey, R.: Proc. Nat. Acad. Sci. India, Sect. A Phys. Sci. 79, 337 (2009d)
Singh, T., Chaubey, R.: Gravit. Cosmol. 18, 39 (2012)
Singh, G.P., Deshpande, R.V., Singh, T.: Astrophys. Space Sci. 282, 489 (2002)
Singh, G.P., Kale, A.Y.: Astrophys. Space Sci. 331, 207 (2011)
Smalley, L.I., Eby, P.B.: Nuovo Cimento 35B, 54 (1976)
Triginer, J., Pavon, D.: Gen. Relativ. Gravit. 26, 1217 (1994)
Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)
Will, C.M.: Theory of Experiment in Gravitational Physics. Cambridge Univ. Press, Cambridge (1993)
Zel’dovich, Ya.B.: JETP Lett. 12, 307 (1970)
Zimdahl, W.: Phys. Rev. D 53, 5483 (1996)
Acknowledgements
The author wish to place on record their sincere thanks to the referee for his valuable comments and suggestions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chaubey, R. Bianchi type-V bulk viscous cosmological models with particle creation in Brans-Dicke theory. Astrophys Space Sci 342, 499–509 (2012). https://doi.org/10.1007/s10509-012-1168-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-012-1168-5