Torsion gravity: A Reappraisal

By H. Arcos, J. G. Pereira. 2004

233 citations recorded by the source corpus.

The role played by torsion in gravitation is critically reviewed. After a description of the problems and controversies involving the physics of torsion, a comprehensive presentation of the teleparallel equivalent of general relativity is made. According to this theory, curvature and torsion are alternative ways of describing the gravitational field, and consequently related to the same degrees of freedom of gravity. However, more general gravity theories, like for example Einstein–Cartan and gauge theories for the Poincare and the affine groups, consider curvature and torsion as representing independent degrees of freedom. By using an active version of the strong equivalence principle, a possible solution to this conceptual question is reviewed. This solution ultimately favors the teleparallel point of view, and consequently the completeness of general relativity. A discussion of the consequences for gravitation is presented.

Subfields: Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0f683eeaba54de884305f142026bbcc9b5360a3c

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In Geometry and Topology

Citations in the corpus

Solar system constraints on f(T) gravity (2012, background): “Using these quantities one can define the teleparallel Lagrangian, which is the torsion scalar, as (Hayashi & Shirafuji (1979), Maluf (1994), Arcos & Pereira (2004))”
Observational constraints on teleparallel dark energy (2011, background): “In particular, it is the torsion scalar T , given by [39, 40, 44, 45]:”
Growth factor in $f(T)$ gravity (2010, background): “6) T is the simplest teleparallel Lagrangian, which differs from Einstein-Hilbert Lagrangian only up to a boundary term [27].”
f(T) teleparallel gravity and cosmology (2015, methodology): “Using these quantities one can writing down the teleparallel Lagrangian density, which is nothing other than the torsion scalar [113, 250, 251], as”
Bouncing cosmology in f(Q) symmetric teleparallel gravity (2020, background): “In this case, a more general affine structure has to be considered, the so called Weitzenböck connection [38–40].”
Cosmology and Fundamental Physics with the Euclid Satellite (2012, background): “Thus, torsion acts as a force, allowing for the interpretation of gravity as a gauge theory of the translation group (Arcos and Pereira 2004).”