Bouncing universe of entropy-corrected Friedmann equations

TL;DR

This paper explores quantum gravity-inspired modifications to Friedmann equations with entropy corrections, demonstrating the possibility of singularity-free oscillating universe models across various curvatures using dynamical systems analysis.

Contribution

It introduces a generalized analysis of bouncing cosmological solutions with logarithmic entropy corrections, considering all curvature types and parameter values.

Findings

Existence of nonsingular oscillating universe solutions.

Phase space analysis classifies all possible nonsingular evolutions.

Results support quantum gravity effects as a mechanism to avoid big bang singularity.

Abstract

The investigation of quantum gravity effects in order to avoid the big bang singularity is a requisite, so that the idea of oscillating universes is introduced as an alternative for standard cosmological model. Therefore, the Friedmann equations arising from the quantum corrections of entropy-area relation provide the possibility of studying the oscillating universes. Addition to necessity of surveying the bouncing solutions, however, the values of unknown constant parameters are still a matter of open debate. In this paper, we consider modified Friedmann equations with logarithmic entropy corrected to evaluate singular-free cosmology solutions for any value of so- called constant pre-factors and all kinds of curved universes. The results are argued using the dynamical system techniques and by employing the phase plane analysis for full classification of the nonsingular evolutions.