Some Bianchi type generalized ghost piligrim dark energy models in general relativity

Abstract

In this paper, we consider Bianchi type-$\mathit{III}$, $V$ and $\mathit{VI}_{0}$ space-times filled with generalized ghost pilgrim dark energy (GGPDE) in general relativity. Here we assume the anisotropic distribution of GGPDE by introducing skewness parameters. To get deterministic solutions, we consider the scale factor $a(t)=(t^{n}e^{t})^{ \frac{1}{k}}$, so called hybrid expansion, which yields a time dependent deceleration parameter, and exhibits a transition of the Universe from early decelerated phase to the recent accelerating phase. To describe the behavior of the obtained models we construct equation of state ($\omega_{\varLambda }$), squared sound speed ($v_{s}^{2}$) parameters and $\omega_{\varLambda }$–$\dot{\omega }_{\varLambda }$, $r$–$s$ planes. It is worth mentioning here that the analysis of evolution parameters supports the concept of pilgrim dark energy (PDE). Also, these models remain stable for PDE parameter $\beta =-0.5$. Moreover, the cosmological planes correspond to $\varLambda \mathit{CDM}$ limit as well as different well-known dark energy models.