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ABSTRACT: The present study deals with spatially homogeneous and anisotropic Bianchi-I
cosmological model representing massive strings. The energy-momentum tensor, as
formulated by Letelier (Phys. Rev. D 28: 2414, 1983) has been used to construct
massive string cosmological model for which we assume that the expansion scalar
in the model is proportional to one of the components of shear tensor. The
Einstein's field equations have been solved by considering time dependent
deceleration parameter which renders the scale factor $a = (\sinh(\alpha
t))^{\frac{1}{n}}$, where $\alpha$ and $n$ are constants. It has been detected
that, for $n > 1$, the presented model has a transition of the universe from
the early decelerated phase to the recent accelerating phase at present epoch
while for $0 < n \leq 1$, this describes purely accelerating universe which is
consistent with recent astrophysical observations. Moreover, some physical and
geometric properties of the model along with physical acceptability of the
solutions have been also discussed in detail.
03/2012;