A non-singular closed bouncing universe without violation of null energy condition

TL;DR

This paper proposes a matter bouncing cosmological model with positive curvature and negative pressure that achieves a non-singular bounce without violating the null energy condition, supported by recent theoretical insights.

Contribution

It introduces a novel entropy-corrected bouncing universe model that avoids null energy condition violations and is independent of certain entropy correction parameters.

Findings

Model supports non-singular bounce with positive curvature

Cosmological parameters analyzed for stability

Null energy condition remains unviolated

Abstract

A matter bouncing entropy-corrected cosmological model has been suggested. The model allows only positive curvature with negative pressure and no violation of the null energy condition. The result obtained in this paper is supported by some recent theoretical works where the combination of positive spatial curvature and vacuum energy leads to non-singular bounces with no violation of the null energy condition. An important feature of the current model is that evolutions of the cosmic pressure, energy density and equation of state parameter are independent of the values of the prefactors $\alpha$ and $\beta$ in the corrected entropy-area relation. The validity of the classical and the new nonlinear energy conditions has been discussed. The cosmographic parameters have been analyzed