International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 471938, 20 pages
doi:10.1155/2009/471938
Research Article

Accelerated Lyra's Cosmology Driven by Electromagnetic Field in Inhomogeneous Universe

Anirudh Pradhan1 and Padmini Yadav2

1Department of Mathematics, Hindu P. G. College, Zamania, Ghazipur, Uttar Pardesh 232 331, India
2Department of Mathematics, P. G. College, Ghazipur 233 001, India

Received 13 July 2009; Accepted 11 December 2009

Academic Editor: Christian Corda

Copyright © 2009 Anirudh Pradhan and Padmini Yadav. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A new class of cylindrically symmetric inhomogeneous cosmological models for perfect fluid distribution with electromagnetic field is obtained in the context of Lyra's geometry. We have obtained solutions by considering the time dependent displacement field. The source of the magnetic field is due to an electric current produced along the z-axis. Only F12 is a nonvanishing component of electromagnetic field tensor. To get the deterministic solution, it has been assumed that the expansion θ in the model is proportional to the shear σ. It has been found that the solutions are consistent with the recent observations of type Ia supernovae, and the displacement vector β(t) affects entropy. Physical and geometric aspects of the models are also discussed in presence and absence of magnetic field.