Plane symmetric inhomogeneous perfect fluid universe with electromagnetic field in Lyra geometry

Abstract

A new class of plane-symmetric inhomogeneous cosmological models of perfect fluid distribution with electro-magnetic field based on Lyra's geometry is obtained by considering a time dependent displacement field. The source of the magnetic field is due to an electric current produced along the z-axis. Only F 12 is a non-vanishing component of electromagnetic field tensor. To get the deterministic solutions, the free gravitational field is assumed to be of Petrov type-II non-degenerate. It has been found that the displacement vector β(t) behaves like cosmological term which is consistent with the recent observations of type Ia supernovae. It is also observed that β(t) affects entropy. Some geometric and physical behaviour of the models are also discussed in presence of magnetic field.

A New Class of Bianchi Type-I Cosmological Models in Lyra Geometry

“…Considering same form of the displacement vector field β = β 0 t −n as in previous section, we get the same value of V as in (21), using the value of V in terms of cosmic time, we can easily obtained the relations between scale factors and cosmic time t , as shown in (22)- (24). Now, with the help of (22)-(24), (49) and (50), (43), (44) suggest Truncated causal theory (ε = 0) ξ = a 0 t 4n−4 +a 1 t 2n−2 +a 2 t 2n−1 (a 3 t 2n−2 +a 4 )…”

“…Equations (21) and (60) are similar and substituting the value of constant 3 1−α = n, we get solutions (22)- (24).…”

“…Rahaman et al [23] have studied the gravitational field of domain wall in Lyra Geometry. Using Lyra geometry, Pradhan [24,25] had presented cosmological models of plane symmetric inhomogeneous perfect fluid distribution with electromagnetic field and plane symmetric thick domain wall with bulk viscosity. Very recently Bali and Chandnani [26] have investigated Bianchi type-V barotropic perfect fluid cosmological model in Lyra geometry.…”

New Class of Magnetized Inhomogeneous Bianchi Type-I Cosmological Model with Variable Magnetic Permeability in Lyra Geometry

“…Recently, Pradhan et al [21,22,23,24,25,26,27], Casama et al [6], Rahaman et al [28], Bali and Chandnani [2,3], Kumar and Singh [15], Yadav et al [35], Rao et al [29], Zia and Singh [37] have studied cosmological models based on Lyras geometry in various contexts.…”

LRS Bianchi Type II Perfect Fluid Cosmological Models in Normal Gauge for Lyra’s Manifold

“…Recently, Pradhan et al [31][32][33][34][35][36][37], Casama et al [38], Bali and Chandnani [39,40], Kumar and Singh [41], Ram, Zeyauddin and Singh [42], Singh [43] and Rao, Vinutha and Santhi [44] have studied cosmological models based on Lyra's geometry in various contexts. With these motivations, in this paper, we have obtained LRS Bianchi type II cosmological models of perfect fluid distribution of matter for the field equations in normal gauge for Lyra's manifold where gauge function β is taken as time dependent.…”