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Exact Bianchi Type-I Cosmological Models in a Scalar-Tensor Theory

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Abstract

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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Delhi College of Engineering, Bawana Road, Delhi, 110 042, India

    Suresh Kumar & C. P. Singh

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  1. Suresh Kumar
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  2. C. P. Singh
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Correspondence to Suresh Kumar.

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Kumar, S., Singh, C.P. Exact Bianchi Type-I Cosmological Models in a Scalar-Tensor Theory. Int J Theor Phys 47, 1722–1730 (2008). https://doi.org/10.1007/s10773-007-9614-9

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  • DOI: https://doi.org/10.1007/s10773-007-9614-9

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