Holographic polytropic $f(T)$-gravity models

TL;DR

This paper explores the cosmological implications of reconstructing $f(T)$ gravity using holographic-polytropic dark energy, analyzing transition phases, statefinder diagnostics, and stability with observational consistency.

Contribution

It introduces new holographic-polytropic $f(T)$ gravity models and examines their cosmological behavior, including transition from deceleration to acceleration and stability analysis.

Findings

Deceleration parameter indicates transition from deceleration to acceleration.

Statefinder trajectories reach the $ ext{Lambda}$CDM point, matching observations.

Models are stable at late times based on squared speed of sound.

Abstract

The present paper reports a study on the cosmological consequences arising from reconstructing $f(T)$ gravity through new holographic-polytropic dark energy. We assume two approaches, namely a particular form of Hubble parameter $H$ and a solution for $f(T)$. We obtain the deceleration parameter, effective equation of state as well as torsion equation of state parameters from total density and pressure in both cases. It is interesting to mention here that the deceleration and torsion equation of state represent transition from deceleration to acceleration phase. We study the statefinder parameters under both approaches which result that statefinder trajectories are found to attain $\Lambda$CDM point. The comparison with observational data represents consistent results. Also, we discuss the stability of reconstructed models through squared speed of sound which represents stability in late times.