Plane symmetric cosmological models
Full Text of "Plane symmetric cosmological models"

Keywords

Cosmological model
Einstein-Maxwell space-time
Lie point sym- metry
Petrov type-II

Abstract

In the present work, we execute the Lie symmetry analysis on the Einstein-Maxwell field equations in the plane symmetric spacetime. Under the background of the plane symmetric space-time we compute the Lie point symmetries, perform the similarity reductions and obtain exact solutions in connection to the evolutionary scenario of the universe. The special feature of the study is that it deals with the electromagnetic energy of the inhomogeneous universe through the non-vanishing component of electromagnetic eld tensor F12 and assumes that the free gravi- tational eld is of Petrov type-II non-degenerate. We have found that the elec- tromagnetic eld tensor is positive and increasing function of time. To validate the solution set, we examine with detailed discussions several physical as well as geometrical features of a specic sub-case of the model.

Full Text of "Plane symmetric cosmological models"