2014
DOI: 10.1103/physrevd.89.124036
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Nonminimal torsion-matter coupling extension off(T)gravity

Abstract: We construct an extension of f (T ) gravity with the inclusion of a non-minimal torsion-matter coupling in the action. The resulting theory is a novel gravitational modification, since it is different from both f (T ) gravity, as well as from the nonminimal curvature-matter-coupled theory. The cosmological application of this new theory proves to be very interesting. In particular, we obtain an effective dark energy sector whose equation-of-state parameter can be quintessence-or phantom-like, or exhibit the ph… Show more

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Cited by 192 publications
(178 citation statements)
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“…The resulting f (T, T ) theory is different from f (T ) gravity, from the curvature-based f (R, T ) gravity [83], as well as from the recently constructed nonminimally torsion-matter coupled theory where T is coupled to the matter Lagrangian L m instead of T [99]. Therefore, it is a novel modified gravitational theory.…”
Section: Discussionmentioning
confidence: 79%
See 1 more Smart Citation
“…The resulting f (T, T ) theory is different from f (T ) gravity, from the curvature-based f (R, T ) gravity [83], as well as from the recently constructed nonminimally torsion-matter coupled theory where T is coupled to the matter Lagrangian L m instead of T [99]. Therefore, it is a novel modified gravitational theory.…”
Section: Discussionmentioning
confidence: 79%
“…The incorporation of non-minimally coupled scalar-torsion theories was performed in [90][91][92][93][94][95][96][97][98], where a scalar field couples non-minimally to the torsion scalar T . Similarly, in [99] nonminimally matter-torsion theories were constructed, where the matter Lagrangian is coupled to a second f (T ) function. We mention that both these scenarios are different than the corresponding curvature ones, despite the fact that uncoupled GR coincides with TEGR.…”
Section: Contents 1 Introductionmentioning
confidence: 99%
“…(For a review, see Refs. [6][7][8][9][10][11][12][13] In this model, due to the tiny DM particle mass m = O (10 −22 )eV, the DM particle number density is very high and hence the inter-particle distance is much smaller than the de Broglie wave length of the DM particles. Therefore, the particles are in BEC and move collectively as a wave rather than incoherent particles.…”
mentioning
confidence: 99%
“…In fact the above scale factor and similar ones, e.g. [48], can be obtained as a subclass of a more generalized family of scale factors, calledq-de Sitter [64], whereq is a free parameter. This scale factor is an intermediate form between power-law and de Sitter, where both dark energy and dark matter simultaneously are described by this family of solutions.…”
Section: Modified Friedmann Equationsmentioning
confidence: 99%
“…In contrast, the f (T ) theories cannot be conformally equivalent to TEGR plus a scalar field [27]. Short period these pioneering studies have been followed by a large number of works exploring different aspects of the f (T ) gravity in astrophysics [28][29][30][31][32][33][34][35][36][37][38][39][40] and in cosmology [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56]. Some applications show interesting results, e.g.…”
Section: B F (T ) Gravitymentioning
confidence: 99%