Plane-Symmetric Inhomogeneous Viscous Fluid Cosmological Models With Electromagnetic Field

Abstract

We consider a magnetic cylindrically symmetric universe with a plane-symmetric inhomogeneous viscous fluid cosmological model with electromagnetic field. The viscosity coefficient of bulk viscous fluid is assumed to be a power function of mass density. To get a determinate solution, we assume the free gravitational field to be Petrov type-II non-degenerate. Without assuming any ad hoc law, we obtain a cosmological constant as a decreasing function of time. The behaviour of the electromagnetic field tensor together with some physical aspects of the model are also discussed.

Inhomogeneous perfect fluid universe with electromagnetic field

“…Singh et al (1990) obtained inhomogeneous cosmological models of perfect fluid distribution with electro-magnetic field. Recently, Pradhan and Pandey (2003a, 2003b, Pradhan et al (2002Pradhan et al ( , 2007aPradhan et al ( , 2007b have investigated plane-symmetric inhomogeneous cosmological models in various contexts. Cylindrically symmetric space-time play an important role in the study of the universe on a scale in which anisotropy and inhomogeneity are not ignored.…”

Plane symmetric bulk viscous domain wall in Lyra geometry

“…It is believed that β 2 has similar behaviour as the cosmological constant which decreases during expansion of universe. Several authors [53]− [65] have considered the relation β ∼ 1 t for study of cosmological models in different context.…”

Bianchi type-I Cosmological Model in Scalar Tensor Theories of Gravitation with Viscous Fluid Distribution

“…This theory suggests a positive way to solve the missing matter problem in non-flat FRW cosmologies. The effect of bulk viscosity on cosmological evolution has been investigated by a number of authors in the context of general theory of relativity [4][5][6][7][8][9][10][11][12]. The nature of cosmological solution for homogenous cosmological model was investigated by Belinsky et al [13] and shown that viscosity can not remove the cosmological singularities but result in a qualitatively new behaviour of the solution near singularity.…”