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Bulk viscous cosmology in early Universe

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Abstract

The effect of bulk viscosity on the early evolution of Universe for a spatially homogeneous and isotropic Robertson-Walker model is considered. Einstein’s field equations are solved by using ‘gamma-law’ equation of state p = (γ − 1)ρ, where the adiabatic parameter gamma (γ) depends on the scale factor of the model. The ‘gamma’ function is defined in such a way that it describes a unified solution of early evolution of the Universe for inflationary and radiation-dominated phases. The fluid has only bulk viscous term and the coefficient of bulk viscosity is taken to be proportional to some power function of the energy density. The complete general solutions have been given through three cases. For flat space, power-law as well as exponential solutions are found. The problem of how the introduction of viscosity affects the appearance of singularity, is briefly discussed in particular solutions. The deceleration parameter has a freedom to vary with the scale factor of the model, which describes the accelerating expansion of the Universe.

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Authors and Affiliations

  1. Department of Applied Mathematics, Delhi College of Engineering, Bawana Road, Delhi, 110 042, India

    C. P. Singh

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  1. C. P. Singh
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Correspondence to C. P. Singh.

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Singh, C.P. Bulk viscous cosmology in early Universe. Pramana - J Phys 71, 33–48 (2008). https://doi.org/10.1007/s12043-008-0139-4

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  • DOI: https://doi.org/10.1007/s12043-008-0139-4

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