The Asymptotic Behavior of Bouncing Cosmological Models in $F(\mathcal{G})$ Gravity Theory

TL;DR

This paper investigates the late-time behavior of bouncing cosmological models within $F( ext{G})$ gravity, reconstructing models with exponential scale factors and analyzing their asymptotic solutions using Puiseux series.

Contribution

It introduces a method to construct asymptotic expansions of solutions in $F( ext{G})$ gravity models with bouncing behavior, focusing on late-time dynamics.

Findings

Reconstructed $F( ext{G})$ models with exponential scale factors for bouncing cosmology

Analyzed asymptotic behavior of solutions using Puiseux series

Provided insights into late-time evolution in modified gravity models

Abstract

We reconstruct $F(\mathcal{G})$ gravity theory with an exponential scale factor to realize the bouncing behavior in the early universe and examine the asymptotic behaviour of late-time solutions in this model. We propose an approach to the construction of asymptotic expansions of solutions of the Friedmann equations on the basis of Puiseux series.