Bouncing cosmology, $F(T)$ teleparallel gravity and entropy of apparent horizon

TL;DR

This paper explores bouncing cosmology within $F(T)$ teleparallel gravity, deriving specific functions and parameters that align with observational data, and examines associated entropy and dark energy equations.

Contribution

It introduces a new $F(T)$ function for bouncing cosmology and links it with entropic cosmology and dark energy properties.

Findings

Deceleration parameter $q_0\approx -0.535$ matches Planck data.

Derived $F(T)$ function for specific model parameters.

Obtained entropy and dark energy equation of state for the model.

Abstract

Two parameters scale factor leading to bouncing cosmology is considered. We show that at some model parameters we obtain the deceleration parameter $q_0\approx -0.535$ at the current epoch which is in agreement with the Planck data. The equation for the transition point when the universe expands from acceleration to deceleration phases is obtained. We find the equation for the function $F(T)$ within the teleparallel gravity with torsion field $T$ which provides bouncing cosmology. For some parameters of the model the function $F(T)$ was computed. At the same time, in the framework of entropic cosmology, the associated entropy was obtained for particular model parameters. The equation of state for dark energy was obtained.