  We investigate plane symmetric space-time filled with perfect fluid in the
$C$-field cosmology of Hoyle and Narlikar. A new class of exact solutions have
been obtained by considering the creation field $C$ as a function of time only.
To get the deterministic solution, it has been assumed that the rate of
creation of matter-energy density is proportional to the strength of the
existing $C$-field energy density. Several physical aspects and geometrical
properties of the models are discussed in detail, especially it is shown that
some of our solutions of $C$-field cosmology are free from singularity in
contrast to the Big Bang cosmology. A comparative study has been carried out
between two models, one singular and the other nonsingular, by contrasting the
behaviour of the physical parameters and noted that the model in a unique way
represents both the features of the accelerating as well as decelerating
Universe depending on the parameters and thus seems provides glimpses of the
oscillating or cyclic model of the Universe without invoking any other agent or
theory in allowing cyclicity.
