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Universe 2015, 1(3), 422-445; doi:10.3390/universe1030422

Autoparallel vs. Geodesic Trajectories in a Model of Torsion Gravity

Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Building 8G, 2 Floor, Camino de Vera 46022, Valencia, Spain
Academic Editor: Lorenzo Iorio
Received: 14 October 2015 / Revised: 11 November 2015 / Accepted: 13 November 2015 / Published: 25 November 2015
View Full-Text   |   Download PDF [340 KB, uploaded 25 November 2015]


We consider a parametrized torsion gravity model for Riemann–Cartan geometry around a rotating axisymmetric massive body. In this model, the source of torsion is given by a circulating vector potential following the celestial parallels around the rotating object. Ours is a variant of the Mao, Tegmark, Guth and Cabi (MTGC model) in which the total angular momentum is proposed as a source of torsion. We study the motion of bodies around the rotating object in terms of autoparallel trajectories and determine the leading perturbations of the orbital elements by using standard celestial mechanics techniques. We find that this torsion model implies new gravitational physical consequences in the Solar system and, in particular, secular variations of the semi-major axis of the planetary orbits. Perturbations on the longitude of the ascending node and the perihelion of the planets are already under discussion in the astronomical community, and if confirmed as truly non-zero effects at a statistically significant level, we might be at the dawn of an era of torsion phenomenology in the Solar system. View Full-Text
Keywords: Solar system anomalies; Riemann–Cartan spacetime; gravitation models; autoparallel curves; geodesic curves Solar system anomalies; Riemann–Cartan spacetime; gravitation models; autoparallel curves; geodesic curves
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Acedo, L. Autoparallel vs. Geodesic Trajectories in a Model of Torsion Gravity. Universe 2015, 1, 422-445.

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