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.

Highlights

  • The accelerated cosmic expansion phenomenon is undoubtedly the biggest achievement of the twentieth century

  • The cosmic expansion goes through different stages of dark matter and dark energy (DE) normally characterized by the equation of state (EoS) parameter

  • We have considered two values of pilgrim dark energy (PDE) parameter, i.e., u = 2 and −2

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Summary

Introduction

The accelerated cosmic expansion phenomenon is undoubtedly the biggest achievement of the twentieth century. The cosmic expansion goes through different stages of dark matter and DE normally characterized by the equation of state (EoS) parameter These ranges include ω < −1 for phantom, ω = −1 for vacuum (cosmological constant ( )) and. Kofinas and Saridakis [6] presented this distinct theory by evaluating a torsion equivalent of Gauss–Bonnet term without using curvature formalism They analyzed several observable like EoS, DE density and matter density parameters by assuming two specific F(T, TG) models [7] and found this theory as explaining the cosmic evolution. Kofinas et al [8] discussed dynamical analysis of spatially flat FRW metric by considering a particular F(T, TG) model and concluded that the universe can exhibit various DE dominated solutions such as cosmological constant, quintessence or phantom like solutions that depend upon the values of corresponding model parameters. Jawad [11] studied energy conditions for FRW universe analytically

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E B ωEAC
Cosmic scale factors
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Cosmological analysis via well-known scale factors
Power-law scale factor
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Scale factor for the unified phases
Intermediate scale factor
Concluding remarks
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