FIZIKA B 18 (2009) 4, 243264
INHOMOGENEOUS PERFECT FLUID UNIVERSE WITH ELECTROMAGNETIC FIELD IN LYRA
GEOMETRY
ANIRUDH PRADHAN^{a }and PRIYA MATHUR^{b}
^{a}Department of Mathematics, Hindu P. G. College, Zamania232 331,
Ghazipur, U. P., India Email addresses:
acpradhan@yahoo.com ,
pradhan@iucaa.ernet.in
^{b}Department of Mathematics, Institute of Engineering and Technology,
Alwar301 001, Rajasthan, India Email 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 zaxis. Only F_{12}
is a nonvanishing 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, 52423
Keywords: cosmology, cylindrically symmetric universe, inhomogeneous models,
Lyra's geometry
