FIZIKA B 16 (2007) 4, 175196
A NEW CLASS OF PLANESYMMETRIC INHOMOGENEOUS COSMOLOGICAL MODELS OF PERFECT
FLUID DISTRIBUTION WITH ELECTROMAGNETIC FIELD
ANIRUDH PRADHAN ANIL KUMAR YADAV^{b} and J. P. SINGH ^{c}
^{a}Department of Mathematics, Hindu Postgraduate College, Zamania232 331, Ghazipur, India
^{b}Department of Physics, K. N. Govt. Postgraduate College, Gyanpur,Sant Ravidas Nagar, Bhadohi221 304, India
^{c}Department of Mathematical Sciences, A. P. S. University, Rewa486 003, India
Email addresses: pradhan@iucaa.ernet.in,
abanilyadav@yahoo.co.in,
jpsinghmp@lycos.com
Received 1 July 2007; Accepted 6 November 2007
Online 15 February 2008
A new class of planesymmetric inhomogeneous cosmological models of perfect
fluid distribution with electromagnetic field is obtained. The source of the
magnetic field is due to an electric current produced along the zaxis. F_{12}
is the nonvanishing component of electromagnetic field tensor. The free
gravitational field is assumed to be of Petrov typeII nondegenerate. We have
studied three cases : (i) cosine hyperbolic (ii) linear and (ii) cosine form.
Some geometric and physical properties of the models in the presence and absence
of magnetic field are also discussed.
PACS numbers: 98.80.Jk, 98.80.k
UDC 524.83
Keywords: cosmology, electromagnetic field, inhomogeneous solution
