Bounce cosmology in $f(\mathcal{R})$ gravity

TL;DR

This paper explores bouncing cosmology models within $f( ext{R})$ gravity, aiming to resolve the Big Bang singularity and analyze stability and cosmic acceleration through various models and parameters.

Contribution

It introduces and analyzes specific viable $f( ext{R})$ gravity models that facilitate bouncing cosmology and address singularity issues in the early universe.

Findings

Identified conditions for bounce occurrence in $f( ext{R})$ models.

Reconstructed cosmological parameters indicating accelerated expansion.

Assessed late-time stability via sound speed analysis.

Abstract

In this paper, we analyze the modified $f(\mathcal{R})$ gravity models in Friedmann--Lema\^{\i}tre--Robertson--Walker (FLRW) background. The actions of bouncing cosmology are studied under consideration of different viable models in $f(\mathcal{R})$ gravity theory that can resolve the difficulty of singularity in standard Big-Bang cosmology. Under different viable models in $f(\mathcal{R})$ gravity theory, the cosmological constraints are plotted in provisions of cosmic-time, then investigated the bounce circumstance. In addition, the red-shift parameter is used to reconstruct the modified gravity, and compile the cosmological parameters that infer accelerated universe expansion. Finally, the situation stability is evaluated with a sound speed feature, which illustrates late-time stability.