FIZIKA B 18 (2009) 2, 87-98

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BIANCHI TYPE V IMPERFECT FLUID COSMOLOGICAL MODELS WITH HEAT FLOW

MOHD. ZEYAUDDINa and SHRI RAMb

Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 2210 05, India
E-mail addresses:
azeyaitbhu@rediffmail.com , bsrmathitbhu@rediffmail.com
 Received 16 August 2008;    Revised manuscript received 19 February 2008
Accepted 4 March 20   Online 13 July 2009

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.

PACS numbers: 98.80.Es; 98.80.-ky
UDC 52-423, 524.83

Keywords: Bianchi type V, imperfect fluid, shear viscosity, bulk viscosity, heat flow

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