FIZIKA B 19 (2010) 4 , 305322
CYLINDRICALLY SYMMETRIC MAGNETIZED INHOMOGENEOUS STRING COSMOLOGICAL MODELS OF
PERFECT FLUID DISTRIBUTION WITH VARIABLE MAGNETIC PERMEABILITY
RAVI PRAKASH SINGH^{a} and LALLAN YADAV^{b}
^{a}Department of Physics, St., Andrew's College, Gorakhpur  273 001, India
Email address: rpsingh_standrewsgkp@yahoo.in
^{b}Department of Physics, D. D. U. Gorakhpur University, Gorakhpur273 009, India
Email address: lallan_yadav07@yahoo.co.in
Received 25 May 2009; Accepted 14 April 2010
Online 21 May 2010
A new class of cylindricallysymmetric magnetized inhomogeneous
perfectfluid string cosmological models with variable magnetic
permeability is investigated. We assume that F_{12} is the
only nonvanishing component of the electromagnetic field tensor
F_{ij}. The Maxwell's equations show that F_{12} is the function
of x alone, whereas the magnetic permeability ―μ may be
the function of both x and t. To get the deterministic solution,
it has been assumed that the metric coefficients are separable in
the form as A = f(x) l(t), B = g(x) k(t), C = g(x) ν(t).
Also, the Einstein field equations have been solved with string
source in which magnetic field is absent. Some physical and
geometric aspects of the models in the presence and absence of magnetic
field are discussed.
PACS numbers: 98.80.Jk, 95.30.Sf, 04.20.q
UDC 524.83, 52423
Keywords: cosmic string, electromagnetic field, inhomogeneous universe, variable magnetic permeability
