Cosmological viable models in $f(T,B)$ gravity as solutions to the $H_0$ tension

TL;DR

This paper explores $f(T,B)$ gravity models that can explain late-time cosmic acceleration and dark energy behavior, offering an alternative to the standard $ ext{CDM}$ model consistent with current astrophysical data.

Contribution

It introduces four new $f(T,B)$ cosmological models capable of reproducing observed late-time acceleration and dark energy dynamics, including quintessence and phantom regimes.

Findings

Models fit current astrophysical data well.

Models exhibit oscillatory dark energy equation of state.

Models transition across the phantom divide.

Abstract

In this work we present a further investigation about Teleparallel Gravity Cosmology. We demonstrate that according the current astrophysical data (CC+Pantheon+BAO samplers with late universe measurements SH0ES+H0LiCOW), an $f(T,B)$ theory can provide another interpretation to the oscillatory behaviour of the dark energy equation of state when applied to late times. The four $f(T,B)$ cosmological viable models proposed here can undergo an epoch of late-time acceleration and reproduce quintessence and phantom regimes with a transition along the phantom-divided line, making this theory a good approach to modify the standard $\Lambda$CDM model.