Abstract

This work is based on pilgrim dark energy conjecture which states that phantom-like dark energy possesses the enough resistive force to preclude the formation of black hole. The non-flat geometry is considered which contains the interacting generalized ghost pilgrim dark energy with cold dark matter. Some well-known cosmological parameters (evolution parameter ($\omega_{\Lambda}$) and squared speed of sound) and planes ($\omega_{\Lambda}$-$\omega_{\Lambda}'$ and statefinder) are constructed in this scenario. The discussion of these parameters is totally done through pilgrim dark energy parameter ($u$) and interacting parameter ($d^2$). It is interesting to mention here that the analysis of evolution parameter supports the conjecture of pilgrim dark energy. Also, this model remains stable against small perturbation in most of the cases of $u$ and $d^2$. Further, the cosmological planes correspond to $\Lambda$CDM limit as well as different well-known dark energy models.

Highlights

  • The accelerated expansion of the universe is one of the active topic in cosmology since its prediction [1]

  • The cosmological planes correspond to cold dark matter (CDM) limit as well as different well-known dark energy models

  • The proposal of pilgrim dark energy (PDE) model [15] works on this phenomenon which states that phantom dark energy (DE) contains enough repulsive force which can resist against the black hole (BH) formation

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Summary

Introduction

The accelerated expansion of the universe is one of the active topic in cosmology since its prediction [1]. The proposal of PDE model [15] works on this phenomenon which states that phantom DE contains enough repulsive force which can resist against the BH formation. Wei [15] developed cosmological parameters for PDE model with Hubble horizon and provided different possibilities for avoiding the BH formation through PDE parameter. He adopted different possible theoretical and observational ways to make the BH free phantom universe. The generalized ghost version of PDE model so called GGPDE interacting with CDM is considered in non-flat universe In this context, different cosmological parameters (EoS parameter and squared speed of sound) and planes (ω –ω and statefinder) are developed. The concluding remarks of the results are given in the last section

Non-flat FRW universe and basic equations
Hubble parameter
The equation of state parameter
Stability analysis
Statefinder parameters
Results and discussions
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