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FIZIKA B 11 (2002) 1, 57-62
 
A STUDY OF FOUR AND HIGHER-DIMENSIONAL COSMOLOGICAL MODELS IN LYRA
GEOMETRY
F. RAHAMANa,b,c, S. CHAKRABORTYb, N. BEGUMb,
M. HOSSAINb
and M. KALAMb
aKhodar Bazar, Baruipur 743302, 24-Parganas (S), West Bengal,
India
E-mail address: jumath@cal.vsnl.net.in
bDepartment of Mathematics, Jadavpur University, Calcutta
700032, India
cDepartment of Mathematics, N. V. College, Nabadwip, Nadia,
West Bengal, India
Received 8 November 2001; Accepted 18 February 2002
Online 22 May 2002
Exact cosmological solutions for spherically symmetric models, both in four and higher
dimensions are obtained within the framework of Lyra geometry. It is observed that there
is no singularity at finite past in our four-dimensional model. For the five-dimensional
model, the diminision of extra dimension with the evolution of the Universe is exhibited.
The physical behaviour of the models is examined in vacuum (for the four-dimensional case)
and in the presence of perfect fluids (for both four- and five-dimensional models).
PACS numbers: 98.80.cq, 04.50, 04.20.Jb
UDC 530.12
Keywords: Lyra geometry, spherically symmetric models, four and higher dimensions
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