Bianchi type-III cosmological model with quadratic EoS in Lyra geometry

Abstract

The paper deals with the investigation of a homogeneous and anisotropic space-time described by Bianchi type III metric with perfect fluid in Lyra geometry setting. Exact solutions of the Einsten's field equations have been obtained under the assumption of quadratic equation of state (EoS) of the form p = aρ 2 − ρ , where a is a constant and strictly a > 0. The physical and geometrical aspects are also examined in details. AbstractThe paper deals with the investigation of a homogeneous and anisotropic space-time described by Bianchi type III metric with perfect fluid in Lyra geometry setting. Exact solutions of the Einsten's field equations have been obtained under the assumption of quadratic equation of state (EoS) of the form p = aρ 2 − ρ , where a is a constant and strictly a > 0. The physical and geometrical aspects are also examined in details.

Vacuum Energy in Saez-Ballester Theory and Stabilization of Extra Dimensions

“…However, at the initial epoch when t = 0, v = 0. Furthermore, from Figure 3, we can see that θ initially emerges with a large value, decreases with evolution, and finally, tends to become constant after some finite time which is the indication of the Big-Bang scenario [84]. The prediction of a similar scenario with similar cosmological settings can also be seen in [85].…”

A study on exact solutions of einstein’s field equations in different cosmological models

“…Mollah et al [14] gave the solutions of Einstein field equations ( 14) under the assumption of quadratic EoS of the type p = aρ 2 − ρ, where a > 0 is constant and θ ∝ σ 1 1 where θ and σ 1 1 are expansion scalar and shear tensor resp. These solutions are the energy density ρ, pressure p, displacement vector β, expansion scalar θ, Hubble's expansion factor H, shear scalar σ, anisotrophic parameter ∆ and deceleration parameter q are given by equations ( 15) -( 22),…”

Mathematical analysis on anisotropic Bianchi Type-III inflationary string Cosmological models in Lyra geometry

“…Bhamra (14) , Beesham (15) , Singh and Singh (16,17) , Rahaman et al (18) , Reddy and Rao (19,20) , Yadav et al (21) , Adhav et al (22) , Reddy (23) , Rao et al (24) are the some of the prominent authors who have already constructed various cosmological models in Lyra geometry. Recently, Singh et al (25) , W. D. R. Jesus, and A. F. Santos (26) , Singh and Mollah (27) , Mollah et al (28) , Yadav and Bhardwaj (29) , Maurya and Zia (30) , A. K. Yadav (31) have studied various cosmological models in different contexts considering Lyra's geometry.…”