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ARPN Journal of Science and Technology >> Volume 7, Issue 2, November 2017

ARPN Journal of Science and Technology

Bianchi Type-I Cosmological Models with Viscosity and Cosmological Term in General Relativity

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Author Padminin Yadav, S. A. Faruqui, Anirudh Pradhan
ISSN 2225-7217
On Pages 702-713
Volume No. 3
Issue No. 7
Issue Date August 01, 2013
Publishing Date August 01, 2013
Keywords Bianchi type-I universe; Viscous fluid; Variable deceleration parameter; Variable cosmological constant


Exact solutions of Einsteinís field equations are obtained in a spatially homogeneous and anisotropic Bianchi type-I spacetime in presence of a dissipative fluid with constant and time dependent cosmological term . To prevail the deterministic solution we choose the scale factor , which yields a time dependent deceleration parameter (DP), representing a model which generates a transition of the universe from the early decelerating phase to the recent accelerating phase. A barotropic equation of state together with the shear viscosity is proportional to expansion scalar, is also assumed. It is observed that the initial nature of singularity is not changed due to the presence of viscous fluid. The cosmological constant A(t) is found to be a decreasing function of time and it approaches a small positive value at the present epoch which is corroborated by consequences from recent supernovae Ia observations. The cosmic jerk parameter in our descended models is also found to be in good concordance with the recent data of astrophysical observations under appropriate condition. The basic equation of thermodynamics have been deduced and the thermodynamic aspects of the models have been discussed. The physical and geometric properties of spatially homogeneous and anisotropic cosmological models are discussed.

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