Pilgrim Dark Energy in $f(T, T_G)$ cosmology

TL;DR

This paper explores the reconstruction of pilgrim dark energy within $f(T, T_G)$ gravity, demonstrating its phantom-like behavior and analyzing its implications for cosmic acceleration and black hole formation.

Contribution

It introduces a novel reconstruction approach of pilgrim dark energy in $f(T, T_G)$ gravity and evaluates its equation of state for different scale factors.

Findings

PDE exhibits phantom-like behavior for specific parameters.

Reconstructed models show aggressive phantom characteristics.

Analysis suggests implications for black hole formation prevention.

Abstract

We work on the reconstruction scenario of pilgrim dark energy" (PDE) in $f(T, T_G)$. In PDE model it is assumed that a repulsive force that is accelerating the Universe is phantom type with $(w_{DE}<-1)$ and it so strong that prevents formation of the black hole. We construct the $f(T, T_G)$ models and correspondingly evaluate equation of state parameter for various choices of scale factor. Also, we assume polynomial form of $f(T, T_G)$ in terms of cosmic time and reconstruct $H$ and $w_{DE}$ in this manner. Through discussion, it is concluded that PDE shows aggressive phantom-like behaviour for$s=-2$ in $f(T, T_G)$ gravity.