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

12 pages, 4 figures, revtex4, Commun. Theor. Phys. in press; v2: published version

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• Reconstruction of $f(T)$-gravity in the absence of matter
• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• New Generalizations of Cosmography Inspired by the Pade Approximant
• Cosmological Constant, Fine Structure Constant and Beyond
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• The Hidden Flat Like Universe II: Quasi inverse power law inflation by $f(T)$ gravity
• Observational Constraints on Varying Alpha in $\Lambda (\alpha )$CDM Cosmology