$C$-field cosmological models: revisited

TL;DR

This paper revisits $C$-field cosmological models, deriving new exact solutions that include both singular and nonsingular universes, and explores their physical and geometrical properties, suggesting possible cyclic universe scenarios.

Contribution

It introduces a new class of exact solutions in $C$-field cosmology with time-dependent creation fields, highlighting nonsingular models and cyclic universe features.

Findings

Some solutions are free from initial singularity.

Models can exhibit both accelerating and decelerating expansion.

The models suggest a cyclic universe without additional theories.

Abstract

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.