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FIZIKA B 19 (2010) 4 , 305-322
 
CYLINDRICALLY SYMMETRIC MAGNETIZED INHOMOGENEOUS STRING COSMOLOGICAL MODELS OF
PERFECT FLUID DISTRIBUTION WITH VARIABLE MAGNETIC PERMEABILITY
RAVI PRAKASH SINGHa and LALLAN YADAVb
aDepartment of Physics, St., Andrew's College, Gorakhpur - 273 001, India
E-mail address: rpsingh_standrewsgkp@yahoo.in
bDepartment of Physics, D. D. U. Gorakhpur University, Gorakhpur-273 009, India
E-mail address: lallan_yadav07@yahoo.co.in
Received 25 May 2009; Accepted 14 April 2010
Online 21 May 2010
A new class of cylindrically-symmetric magnetized inhomogeneous
perfect-fluid string cosmological models with variable magnetic
permeability is investigated. We assume that F12 is the
only non-vanishing component of the electromagnetic field tensor
Fij. The Maxwell's equations show that F12 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, 52-423
Keywords: cosmic string, electromagnetic field, inhomogeneous universe, variable magnetic permeability
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