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FIZIKA B 16 (2007) 4, 175-196
 
A NEW CLASS OF PLANE-SYMMETRIC INHOMOGENEOUS COSMOLOGICAL MODELS OF PERFECT
FLUID DISTRIBUTION WITH ELECTROMAGNETIC FIELD
ANIRUDH PRADHAN ANIL KUMAR YADAVb and J. P. SINGH c
aDepartment of Mathematics, Hindu Post-graduate College, Zamania-232 331, Ghazipur, India
bDepartment of Physics, K. N. Govt. Post-graduate College, Gyanpur,Sant Ravidas Nagar, Bhadohi-221 304, India
cDepartment of Mathematical Sciences, A. P. S. University, Rewa-486 003, India
E-mail addresses: [email protected],
[email protected],
[email protected]
Received 1 July 2007; Accepted 6 November 2007
Online 15 February 2008
A new class of plane-symmetric 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 z-axis. F12
is the non-vanishing component of electromagnetic field tensor. The free
gravitational field is assumed to be of Petrov type-II non-degenerate. 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
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