$f(T)$ non-linear massive gravity and the cosmic acceleration

TL;DR

This paper introduces a new $f(T)$ non-linear massive gravity model incorporating the dRGT mass term, explores its cosmological evolution, and finds it slightly favors crossing the phantom divide line based on observational data.

Contribution

It proposes a novel $f(T)$ massive gravity model with the dRGT mass term and analyzes its cosmological implications using observational constraints.

Findings

Slight preference for crossing the phantom divide line.

Cosmological evolution consistent with observational data.

Potential to explain late-time cosmic acceleration.

Abstract

Inspired by the $f(R)$ non-linear massive gravity, we propose a new kind of modified gravity model, namely $f(T)$ non-linear massive gravity, by adding the dRGT mass term reformulated in the vierbein formalism, to the $f(T)$ theory. We then investigate the cosmological evolution of $f(T)$ massive gravity, and constrain it by using the latest observational data. We find that it slightly favors a crossing of the phantom divide line from the quintessence-like phase ($w_{de} > -1$) to the phantom-like one ($w_{de} < -1$) as redshift decreases.