Abstract
A Bianchi type-V space time is considered with linear equation of state in the scalar tensor theory of gravitation proposed by Brans and Dicke. We use the assumption of constant deceleration parameter and power law relation between scalar field o and scale factor R to find the solutions. Some physical and kinematical properties of the model are also discussed.
Highlights
Einstein’s [1] general theory of relativity has provided a sophisticated theory of gravitation which has been very successful in describing gravitational phenomenon and served as a basis for models of the universe
The homogeneous isotropic expanding model based on general relativity appears to provide a grand approximation to the observed large-scale properties of the universe
Since Einstein first published his theory of gravitation there have been many criticisms of general relativity because of lack of certain “desirable” features in the theory
Summary
Einstein’s [1] general theory of relativity has provided a sophisticated theory of gravitation which has been very successful in describing gravitational phenomenon and served as a basis for models of the universe. (2014) Bianchi Type-V Cosmological Model with Linear Equation of State in Brans-Dicke Theory of Gravitation. Brans and Dicke [3] introduced a scalar-tensor theory of gravitation involving a scalar function in addition to the familiar general relativistic metric tensor. Reddy and Venkateswara Rao [16] and Reddy et al [17] discussed Bianchi type I cosmological models with negative constant declaration parameter in scalar tensor theories formulated by Brans-Dicke theory and Saez-Ballester theory [18].
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