Bounce Models within Teleparallel modified gravity

TL;DR

This paper explores cosmological bounce solutions within modified teleparallel gravity, deriving generalized Friedmann equations and analyzing perturbations in flat and curved FLRW spacetimes, including Born-Infeld models, without exotic matter.

Contribution

It derives bounce models in $f(T)$ gravity, extends analysis to curved spacetime, and investigates perturbations and Born-Infeld models, advancing understanding of teleparallel cosmology.

Findings

Recovered generalized Friedmann equations in flat FLRW within $f(T)$ gravity.

Demonstrated cosmological bounce without exotic matter.

Analyzed perturbations and extended results to curved FLRW spacetime.

Abstract

In this paper, working in a Friedman-Lemaitre-Robertson-Walker (FLRW), first, in the flat case, we recover the generalized Friedman equation of Quantum Loop cosmology, and therefore the cosmological bounce, in the framework of modified teleparallel gravity $f(T)$-model, $T$ being the torsion scalar introduced in teleparallel gravity approach, without invoking unconventional exotic matter. Furthermore we study the associated perturbations again in a flat FLRW space-time. Then, we generalize the results to the curved FLRW space-time, where some issues related to the choice of tetrad exist, by using an appropriate formulation. In this context, the results of Born-Infeld model are also investigated.