Non-trivial frames for f(T) theories of gravity and beyond

By R. Ferraro, Franco Fiorini. 2011

212 citations recorded by the source corpus.

Abstract Some conceptual issues concerning f ( T ) theories – a family of modified gravity theories based on absolute parallelism – are analyzed. Due to the lack of local Lorentz invariance, the autoparallel frames satisfying the field equations are evasive to an a priori physical understanding. We exemplify this point by working out the vierbein (tetrad) fields for closed and open Friedmann–Robertson–Walker cosmologies.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fdfa0165f5c01e6a0fa87d8efe72a3f34218f476

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Citations in the corpus

Degrees of freedom of f(T) gravity (2011, background): “Incidentally, there are no independent degrees of freedom for f(T) gravity in 2D (Since T = 0,�µ�� = 0 in 2D. It should be mentioned that Ferraro and Fiorini also observe the lack of dynamics in 2D f(T) gravity [ 22 ]).”
f(T) teleparallel gravity and cosmology (2015, methodology): “We stress that the field equations of covariant f(T ) gravity [128], generated from the diagonal tetrad (317) and the non-zero spin connection (318), coincide with those obtained in the usual, noncovariant, formulation of f(T ) gravity, for zero spin connection but for the specific and peculiar nond”
On the covariance of teleparallel gravity theories (2017, background): “Other issues have been encountered and discussed in for example [11–14].”
Observational constraints on teleparallel dark energy (2011, background): “The first is to replace T by an arbitrary function f(T ) [41, 42, 46–72], similar to f(R) extensions of GR, and obtain new interesting terms in the field equations.”
Solar system constraints on f(T) gravity (2012, methodology): “…Setare & Houndjo (2012), Liuet al. (2012), Wu & Yu (2010b), Bengochea (2011), Gonzalez et al. (2012), Daouda et al. (2011), Daouda et al. (2012a), Boehmeret al (2011), Daouda et al. (2012b), Ferraro & Fiorini (2011c), Wang (2011), Miao et al. (2011), Wei et al (2012), Ferraro & Fiorini (2011b)).”
Cosmological perturbations in modified teleparallel gravity models (2018, methodology): “ non-trivial solutions for this background. This means that the diagonal tetrads are no ”good” [28] i.e. not compatible with the zero spin connection as explained in [20]. Following the original work [41], we now switch to the hyperspherical coordinates. For deﬁniteness we consider a closed universe”
Teleparallel theories of gravity: illuminating a fully invariant approach (2018, background): “[75] R.”