Abstract
This paper is devoted to the study of the role of particle creation and bulk viscosity in the evolution of the homogeneous and anisotropic model of the universe represented by Bianchi type I space-time metric in Brans-Dicke theory. Particle creation and bulk viscosity have been considered as separated irreversible processes. In order to discuss the physical and geometrical behaviour of the model, a new set of exact solutions of field equations have been obtained in non-causal, truncated and full causal theories. The dynamical behaviours of models have also been discussed.
Similar content being viewed by others
References
S. Weinberg, Gravitation and Cosmology (Weiley, New York, 1972).
G.F.R. Ellis, Relativistic Cosmology, edited by R.K. Sachs (Academic New York, 1971).
B.L. Hu, Advances in Astrophysics, edited by L.Z. Fang, R. Ruffini (World Scientific, Singapore, 1983).
C. Eckart, Phys. Rev. 58, 919 (1940).
O. Grøn, Astrophys. Space Sci. 173, 191 (1990).
R. Maartens, Class. Quantum Grav. 12, 455 (1995).
W. Zimdahl, Phys. Rev. D 53, 5483 (1996).
Arbab I., Gen. Relativ. Gravit. 29, 61 (1997).
R. Maartens, V. Mendez, Phys. Rev. D 55, 1937 (1997).
G.P. Singh, S. Kotambkar, Grav. Cosmol. 9, 206 (2003).
G.P. Singh, R.V. Deshpande, T. Singh, Pramana 63, 937 (2004).
R. Bali, Int. J. Theor. Phys. 48, 476 (2009).
A. Tyagi, K. Sharma, Int. J. Theor. Phys. 49, 1712 (2010).
N.D. Birrell, P.C.W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982).
L. Parker, Phys. Rev. Lett. 21, 562 (1968).
F. Hoyle, J.V. Narlikar, Proc. R. Soc. A 270, 334 (1962).
F. Hoyle, G. Burbidge, J.V. Narlikar, Mon. Not. R. Astron. Soc. 289, 729 (1994).
I. Prigogine, J. Geheniau, E. Gunzig, E. Nardone, Proc. Nat. Acad. Sci. 85, 7428 (1988).
B.L. Hu, Phys. Lett. A 90, 375 (1982).
J.A.S. Lima, A.S.M. Germano, Phys. Lett. A 170, 373 (1992).
W. Zimdahl, D. Pavon, Phys. Lett. A 176, 57 (1993).
J. Triginer, D. Pavon, Gen. Relativ. Grav. 26, 513 (1994).
V.B. Johri, D. Kalyani, Gen. Relativ. Grav. 26, 1217 (1994).
C. Brans, R.H. Dicke, Phys. Rev. 124, 925 (1961).
G.P. Singh, A. Beesham, Austral. J. Phys. 52, 1039 (1999).
G.P. Singh, R.V. Deshpande, T. Singh, Astrophys. Space Sci. 282, 489 (2002).
G.S. Rathore, K. Mandawat, Astrophys. Space Sci. 321, 37 (2009).
K. Land, J. Magueijo, Phys. Rev. Lett. 95, 071301 (2005).
K.D. Krori, A. Mukherjee, Gen. Relativ. Grav. 32, 1429 (2000).
S. Bhanja, S. Chakraborty, U. Debnath, Int. J. Mod. Phys. D. 14, 1919 (2005).
R. Bali, J.P. Singh, Int. J. Theor. Phys. 47, 3288 (2008).
J.P. Singh, R.K. Tiwari, A. Prasad, Int. J. Theor. Phys. 47, 1559 (2008).
S.S. Kokarev, Grav. Cosmol. 2, 321 (1996).
L. Xu, W. Li, J. Lu, JCAP 07, 031 (2009).
V.B. Johri, R. Sudharsan, Phys. Lett. A 136, 316 (1988).
D. Pavon, J. Bafaluy, D. Jou, Class. Quantum Gravit. 8, 357 (1991).
R. Maartens, Extended irreversible thermodynamics in relativity, in Hanno Rund Lecture Notes at University of Natal, Durban, South Africa, edited by S. Maharaj, (1996).
G.L. Murphy, Phys. Rev. D. 8, 4231 (1973).
M.O. Santos, R.S. Dias, A. Banerjee, J. Math. Phys. 26, 878 (1985).
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Singh, G.P., Kale, A.Y. Bianchi type I bulk viscous cosmological models with particle creation in Brans-Dicke theory. Eur. Phys. J. Plus 126, 83 (2011). https://doi.org/10.1140/epjp/i2011-11083-y
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2011-11083-y