Abstract
Spatially homogeneous and anisotropic Bianchi type-I cosmological model containing perfect fluid with quadratic equation of state has been diagnosed in general theory of relativity. To obtain a deterministic solution, we have used a relation between metric potentials. The exact solution of Einstein’s field equations thus obtained represents an expanding and decelerating universe. The physical and kinematical parameters of the model have also been analyzed with certain constrained between the parameters of the quadratic equation of state.
Highlights
In a large scale structure, the universe is highly homogeneous and isotropic, shown in [1]
Homogeneous and anisotropic Bianchi type-I cosmological model containing perfect fluid with quadratic equation of state has been diagnosed in general theory of relativity
The physical and kinematical parameters of the model have been analyzed with certain constrained between the parameters of the quadratic equation of state
Summary
In a large scale structure, the universe is highly homogeneous and isotropic, shown in [1]. Followed by the works of Rahaman et al [8], Firoze et al [9] introduced “Charged anisotropic matter” into quadratic EoS where the approach results in a new class of static spherically symmetric models of relativistic star. For charged anisotropic matter distribution, Maharaj and Takisa [10] found a new exact solution of Einstein-Maxwell equation in terms of quadratic EoS. In 2013, Sharma and Ratanpal’s work [13] results in a favorable solution focusing the interior of a static symmetric spherically asymmetric compact anisotropic star and showed that the model admits EoS in quadratic form. In the study of anisotropic problem, in particular, Bianchi type-I homogeneous cosmological model containing perfect fluid is an interesting idea that lead us to continue research using quadratic EoS to generate an expanding and decelerating universe.
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