Analysis of Generalized Ghost Version of Pilgrim Dark Energy

TL;DR

This paper investigates a generalized ghost version of pilgrim dark energy, analyzing its stability, equation of state behavior, and relation to the $ ext{Lambda}$CDM model, revealing its potential to avoid black hole formation and exhibit thawing or freezing characteristics.

Contribution

It introduces a generalized ghost model of pilgrim dark energy and examines its stability, dynamical behavior, and connection to standard cosmological models.

Findings

Model remains stable for most parameter values.

Equation of state approaches phantom region.

Corresponds to $ ext{Lambda}$CDM in the statefinder plane.

Abstract

The proposal of pilgrim dark energy is based on the speculation that phantom-like dark energy possesses enough resistive force to preclude the black hole formation in the later universe. We explore this phenomenon by assuming the generalized ghost version of pilgrim dark energy. We find that most of the values of the interacting ($\xi^2$) as well as pilgrim dark energy ($u$) parameters push the equation of state parameter towards phantom region. The squared speed of sound shows that this model remains stable in most of the cases of $\xi^2$ and $u$. We also develop $\omega_\Lambda-\omega'_\Lambda$ plane and observe that this model corresponds to thawing as well as freezing regions. Finally, it is shown that the non-interacting and interacting generalized ghost versions of pilgrim dark energy correspond to $\Lambda$CDM limit on the statefinder plane.