FIZIKA B 18 (2009) 4, 243-264

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INHOMOGENEOUS PERFECT FLUID UNIVERSE WITH ELECTROMAGNETIC FIELD IN LYRA GEOMETRY

ANIRUDH PRADHANa and PRIYA MATHURb
aDepartment of Mathematics, Hindu P. G. College, Zamania-232 331, Ghazipur, U. P., India
E-mail addresses: acpradhan@yahoo.com , pradhan@iucaa.ernet.in
bDepartment of Mathematics, Institute of Engineering and Technology, Alwar-301 001, Rajasthan, India
E-mail address: priya_mathur79@yahoo.com

Received 19 May 2009;   Accepted 16 December 2009
Online 22 December 2009

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 obtained two types of solutions by considering the uniform as well as 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 non-vanishing component of the electromagnetic field tensor. To get the deterministic solution, it has been assumed that the expansion q in the model is proportional to the shear s. It has been found that the solutions are consistent with the recent observations of type Ia supernovae and that the displacement vector b(t) affects entropy. Physical and geometric aspects of the models are also discussed in the presence and absence of magnetic field.

PACS numbers: 98.80.Jk, 98.80.-k
UDC 524.83, 52-423

Keywords: cosmology, cylindrically symmetric universe, inhomogeneous models, Lyra's geometry

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