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Axially Symmetric Bianchi Type-I Bulk Viscous Cosmological Model with Time Varying Gravitational and Cosmological Constants

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Abstract

The present study deals with spatially homogeneous and anisotropic axially symmetric Bianchi type-I cosmological model with time variable G and Λ in the presence of bulk viscous fluid. The coefficient of bulk viscosity ζ is considered as a quadratic function of Hubble parameter H (i.e. ζ = ζ 0 + ζ 1 H + ζ 2 H 2, where ζ 0, ζ 1 and ζ 2 are constants). The Einstein’s field equations are solved explicitly by using a law of variation for the Hubble parameter, which gives a constant value of deceleration parameter. The law generates power law and exponential form of average scale factor in terms of cosmic time. The physical and kinematical properties of the models are discussed.

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Acknowledgments

Authors acknowledge the financial support of UGC, New Delhi and the department of Mathematics, Gauhati University for giving facilities for research.

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Authors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, 781014, Assam, India

    Kanika Das & Nawsad Ali

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  1. Kanika Das
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  2. Nawsad Ali
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Correspondence to Kanika Das.

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Das, K., Ali, N. Axially Symmetric Bianchi Type-I Bulk Viscous Cosmological Model with Time Varying Gravitational and Cosmological Constants. Natl. Acad. Sci. Lett. 37, 173–179 (2014). https://doi.org/10.1007/s40009-013-0222-3

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