2016 *f*(*T*) teleparallel gravity and cosmology

**Abstract:** Over the past decades, the role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description. Here we review various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories, resulting in extending torsional gravity in the paradigm of f (T ) gravity, where f (T ) is an arbitrary function of the torsion scalar. Based on this theory, we further review t…

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“…This strategy has been implemented recently in several papers [24][25][26][27]. The resulting equations of motion appear to be nonpathological.…”

mentioning

confidence: 99%

“…This strategy has been implemented recently in several papers [24][25][26][27]. The resulting equations of motion appear to be nonpathological.…”

mentioning

confidence: 99%

“…avoiding the big bang singularity by presenting a bouncing solution [28,[57][58][59]. For more details of f (T )-gravity, see the recent review [60].…”

confidence: 99%

“…However a torsional formulation of GR, namely the Teleparallel Equivalent of General Relativity (TEGR) [12] is also possible. In this approach, the gravitational action is given by the torsion scalar T and one can construct the f (T ) extension of TEGR [13][14][15], where f (T ) is a function of T . The predictions of GR turn out to coincide with TEGR, whereas the same does not happen for f (T ) with respect to f (R) gravity [15].…”

confidence: 99%

“…Indeed, f (T ) models lead to different outcomes if compared with the corresponding f (R) approach. For these reasons, the f (T ) formulation of gravity represents an interesting approach with a significative number of cosmological implications which are today object of intensive investigation [14][15][16][17].…”

confidence: 99%