Analysis of Reconstructed Modified f(Q,T) Gravity

TL;DR

This paper reconstructs a ghost dark energy model within $f(Q,T)$ gravity, analyzing its stability, cosmological evolution, and compatibility with observational parameters, showing it can describe the universe's evolution effectively.

Contribution

It introduces a novel reconstruction of ghost dark energy in $f(Q,T)$ gravity using a non-interacting scheme and analyzes its stability and cosmological implications.

Findings

The equation of state parameter indicates a phantom era.

The model remains stable throughout cosmic evolution.

Cosmographic analysis aligns with observational data.

Abstract

This paper studies the reconstruction criterion in the framework of $f(Q,T)$ gravity using ghost dark energy model, where $Q$ represents the non-metricity and $T$ is the trace of energy-momentum tensor. In this regard, the correspondence scenario for a non-interacting scheme is used to construct the ghost dark energy $f(Q,T)$ model. We consider the flat Friedmann-Robertson-Walker universe with power-law scale factor and pressure-less matter. We investigate the behavior of equation of state parameter and examine the stability of ghost dark energy model via squared speed of sound parameter. The equation of state parameter depicts the phantom era, while the squared speed of sound reveals stable ghost dark energy model for the entire cosmic evolutionary paradigm. Finally, we study the cosmography of the $\omega_{GDE}-\omega'_{GDE}$ and $r-s$ planes that correspond to freezing region and Chaplygin gas model, respectively. It is concluded that the reconstructed ghost dark energy model represents the evolution of the cosmos for suitable choices of the parametric values.