Pilgrim and Generalized Ghost Pilgrim Dark Energy Models in Modified Symmetric Teleparallel Gravity

TL;DR

This paper develops and analyzes pilgrim and generalized ghost pilgrim dark energy models within $f(Q)$ gravity, demonstrating their consistency with cosmic acceleration observations and examining their physical properties.

Contribution

It introduces new dark energy models in $f(Q)$ gravity and explores their cosmological implications, including observational consistency and stability analysis.

Findings

Models explain the universe's rapid expansion.

Results align with interacting pilgrim dark energy models.

Physical properties indicate stability and viability.

Abstract

In this paper, we investigate $f(Q)$ gravity ($Q$ represents the non-metricity) to explore its cosmological implications of the two non-interacting dark energy models. We use the correspondence scenario to find the pilgrim and generalized ghost pilgrim dark energy $f(Q)$ gravity models for a Friedmann-Robertson-Walker universe with pressureless matter and a power-law scale factor. The reconstructed models explain the observed rapid expansion of the universe using astronomical observations. We also examine the physical properties of the model, including its equation of state parameter, $(\omega_{D}-\omega^{\prime}_{D})$ and $(r-s)$-planes and the squared speed of sound. It is found that our results are consistent with the interacting pilgrim dark energy model in the same gravity.