Journal
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Volume 51, Issue 12, Pages 3769-3786Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-012-1262-z
Keywords
Bianchi type-I universe; Exact solution; Alternative gravitation theory; Variable deceleration parameter
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Funding
- Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India
- State Council of Science and Technology, Uttar Pradesh, India [C.S.T./D-1536]
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A new class of a spatially homogeneous and anisotropic Bianchi type-I cosmological models of the universe for perfect fluid distribution within the framework of scalar-tensor theory of gravitation proposed by Saez and Ballester (Phys. Lett. 113:467, 1986) is investigated. To prevail the deterministic solutions we choose the different scale factors which yield time-dependent deceleration parameters (DP) representing models which generate a transition of the universe from the early decelerated phase to the recent accelerating phase. Three different physically viable models of the universe are obtained in which their anisotropic solutions may enter to some isotropic inflationary era. The modified Einstein's field equations are solved exactly and the models are found to be in good concordance with recent observations. Some physical and geometric properties of the models are also discussed.
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