Volumetric expansions of accelerating unstable cosmological models with a quadratic form of equation of state
International Journal of Development Research
Volumetric expansions of accelerating unstable cosmological models with a quadratic form of equation of state
Received 21st April, 2019; Received in revised form 11th May, 2019; Accepted 03rd June, 2019; Published online 31st July, 2019
Copyright © 2019, Shekh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper, we derive the field equations towards f (R) gravity (where is the Ricci scalar) with the help of a locally rotationally symmetric spatially homogeneous and anisotropic Bianchi type-I space-time, in the presence of perfect fluid with Quadratic form of Equation of State. Here we obtained the solutions of the field equations using volumetric power and exponential law of expansion, under some specific plausible physical conditions. The stability factor of the model is initially positive which satisfy that the velocity of sound should be less than the velocity of light i.e. within the range , but with the expansion the modelis unstable.Various physical and kinematical properties of the models are also discussed.
