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FIZIKA B 18 (2009) 2, 87-98
 
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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