Some Exact Bianchi Type V Perfect Fluid Solutions with Heat Flow

Details Some Exact Bianchi Type V Perfect Fluid Solutions with Heat Flow Some Exact Bianchi Type V Perfect Fluid Solutions with Heat Flow

Dec 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ijtp...47.3162s&link_type=abstract

International Journal of Theoretical Physics, Volume 47, Issue 12, pp.3162-3170

Physics

5

Cosmology, Hubble&Rsquo, S Parameter, Deceleration Parameter, Bianchi Models, Perfect Fluid, Heat Conduction

Scientific paper

The variation law for generalized mean Hubble’s parameter is discussed in a spatially homogeneous and anisotropic Bianchi type V space-time with perfect fluid along with heat-conduction. The variation law for Hubble’s parameter, that yields a constant value of deceleration parameter, generates two types of solutions for the average scale factor, one is of power-law type and other one of exponential form. Using these two forms of the average scale factor, exact solutions of Einstein field equations with a perfect fluid and heat conduction are presented for a Bianchi type V space-time, which represent expanding singular and non-singular cosmological models. We find that the constant value of deceleration parameter is reasonable for the present day universe. The physical and geometrical properties of the models are also discussed in detail.

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