Cosmological Analysis of Reconstructed $\mathcal{F}(T,T_\mathcal{G})$ Models

TL;DR

This paper investigates the cosmological implications of reconstructed $ ext{F}(T,T_ ext{G})$ models with various scale factors, analyzing stability, equation of state, and consistency with current universe observations.

Contribution

It introduces a detailed stability and cosmological analysis of reconstructed $ ext{F}(T,T_ ext{G})$ models for different scale factors, extending previous work in teleparallel gravity.

Findings

Models are stable for pilgrim dark energy parameter 2.

Equation of state satisfies conditions for pilgrim dark energy.

Cosmological parameters align with current universe observations.

Abstract

In this paper, we analyze cosmological consequences of the reconstructed generalized ghost pilgrim dark energy $\mathcal{F}(T,T_\mathcal{G})$ models in terms of redshift parameter $z$. For this purpose, we consider power-law scale factor, scale factor for two unified phases and intermediate scale factor. We discuss graphical behavior of the reconstructed models and examine their stability analysis. Also, we explore the behavior of equation of state as well as deceleration parameters and $\omega_{\Lambda}-\omega_{\Lambda}^{'}$ as well as $r-s$ planes. It is found that all models are stable for pilgrim dark energy parameter $2$. The equation of state parameter satisfies the necessary condition for pilgrim dark energy phenomenon for all scale factors. All other cosmological parameters show great consistency with the current behavior of the universe.