Cosmological model with time varying deceleration parameter in $F(R,G)$ gravity

TL;DR

This paper investigates the dynamics of the universe within an $F(R,G)$ gravity framework, analyzing energy conditions, stability, and cosmological diagnostics, revealing a late-time quintessence-like behavior.

Contribution

It introduces a specific $F(R,G)$ gravity model with a time-varying deceleration parameter and examines its cosmological viability and behavior.

Findings

Model exhibits quintessence-like late-time acceleration

Energy conditions and stability are satisfied

Reconstruction via scalar field formalism is viable

Abstract

In this paper, we study the dynamical behaviour of the Universe in the $F(R,G)$ theory of gravity, where $R$ and $G$ respectively denote the Ricci scalar and Gauss-Bonnet invariant. Our wide analysis encompasses the energy conditions, cosmographic parameters, $Om(z)$ diagnostic, stability and the viability of reconstructing the referred model through a scalar field formalism. The model obtained here shows the quintessence like behaviour at late times.