Original scientific paper

Bianchi type V imperfect fluid cosmological models with heat flow

Mohd. Zeyauddin ; Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 2210 05, India
Shri Ram ; Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 2210 05, India

Abstract

We obtain two classes of exact solutions to the Einstein's field equations by applying a special law of variation of the Hubble's parameter for a Bianchi type V space-time in the presence of an imperfect fluid with both shear and bulk viscosities together with heat flow. The coefficient of the shear viscosity is determined on the basis of the physical assumption that it is proportional to the Hubble's expansion parameter, whereas the bulk viscosity coefficient is determined when the energy-density and the kinetic pressure satisfy the barotropic equation of state. These classes of solutions represent expanding cosmological models with and without a finite physical singularity. The physical and kinematical features of the models in two types of cosmologies are discussed.

Keywords

Bianchi type V; imperfect fluid; shear viscosity; bulk viscosity; heat flow

Hrčak ID:

304577

URI

https://hrcak.srce.hr/304577

Publication date:

3.5.2009.

Article data in other languages: croatian

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