Mathematics – Logic
Scientific paper
Jun 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ijtp...47.1722k&link_type=abstract
International Journal of Theoretical Physics, Volume 47, Issue 6, pp.1722-1730
Mathematics
Logic
11
Bianchi Space-Time, Hubble&Rsquo, S Parameter, Deceleration Parameter, Cosmological Models, Scalar Field
Scientific paper
In this paper, a spatially homogeneous and anisotropic Bianchi type-I space-time filled with perfect fluid is investigated within the framework of a scalar-tensor theory proposed by Saez and Ballester. Two different physically viable models of the universe are obtained by using a special law of variation for Hubble’s parameter that yields a constant value of deceleration parameter. One of the models is found to generalize a model recently investigated by Reddy et al. (Astrophys. Space Sci. 306:171, 2006). The Einstein’s field equations are solved exactly and the solutions are found to be consistent with the recent observations of type Ia supernovae. A detailed study of physical and kinematical properties of the models is carried out.
Kumar Suresh
Singh Chandra Prakash
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