To Study the Bianchi type V Cosmological Model with Quadratic Equation of State in Modified theory of Gravity

Abstract

In this paper, Bianchi type-V cosmological model in perfect fluid with quadratic equation of state p= αρ2-ρ, where α≠ 0, has been studied in modified theory of gravity. The general solution of the f(R, T) equations for Bianchi type-V space-time has been obtained by considering a law of variation of scale factor which yields a time dependent deceleration parameter. The model represents the transition of the universe from early deceleration phase to the recent accelerated expansion phase.

Bianchi Type V Anisotropic Cosmological Model with a Dynamic Cosmological Constant Λ(<em>t</em>) along with Quadratic Deceleration Parameter in <em>f</em>(R, T) Gravity

“…In this model, adding time dependent cosmological constant Λ(t) in field equations cause a change in pressure and energy density formula as shown in [26,27]. We notice that for three types of n cosmological constant, pressure and energy density show same graphical presentation.…”

“…We have time-based singularity and spatial (x, y, z) singularity in General Relativity. In Bianchi type V line element (27) we find time-based singularity where we can use the Raychaudhuri equation to remove singularity [21]. These theorems provide powerful revelations about the structure and behavior of spacetime and have expressive ramifications for the study of black holes and the early universe.…”