Abstract
In this paper, we study f(T,T G ) gravity in FRW spacetime taking into account correspondence scheme. For this purpose, we assume pilgrim dark energy model with event horizon as infrared cutoff. We construct f(T,T G ) model to analyze the behavior of the model as well as evolution trajectories of some cosmological parameters. That is, we study equation of state parameter, squared speed of sound and w PDE – $w'_{\mathit{PDE}}$ analysis taking into account two cases of model parameter. The equation of state parameter in this scenario shows consistency with pilgrim dark energy phenomenon with quintom behavior. The squared speed of sound exhibits stability and instability of the model corresponding to model parameter. We also attain the thawing and freezing regions as well as ΛCDM limits through w PDE – $w'_{\mathit{PDE}}$ plane. Also, we construct a solution by taking ΛCDM model in underlying gravity.
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