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FIZIKA B 18 (2009) 4, 207-218
 
ANISOTROPIC VISCOUS FLUID COSMOLOGICAL MODELS WITH HEAT FLOW IN
SAEZ-BALLESTER THEORY OF GRAVITATION
SHRI RAMa, M. K. VERMAb and MOHD. ZEYAUDDIN
Department of Applied Mathematics, Institute of Technology, Banaras Hindu
University, Varanasi 2210 05, India
E-mail addresses:
srmathitbhu@rediffmail.com ,
manojvermaitbhu@gmail.com
Received 11 June 2009; Accepted 16 November 2009
Online 7 December 2009
We discuss the field equations in Saez-Ballester scalar-tensor theory of
gravitation for a Bianchi type-V model filled with viscous fluid together with
heat flow. We obtain two classes of cosmological solutions by applying a special
law of variation of Hubble's parameter which yields a constant value of
deceleration parameter. One class of solutions corresponds to a model of
universe which evolves from a big-bang type singularity at t=0 and expands with
power-law expansion. The other class of solutions represents an universe
expanding exponentially having singularity in the infinite past. The physical
and kinematical features of the models are discussed. We observe that the models
of the universe in two types of cosmologies are compatible with the results of
recent observations.
PACS numbers: 98.80.Es; 98.80.-k
UDC 524.83, 52.423
Keywords: Bianchi V, cosmology, Hubble's parameter, viscous fluid
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