Test particles behavior in the framework of a lagrangian geometric theory with propagating torsion

Details Test particles behavior in the framework of a lagrangian geometric theory with propagating torsion Test particles behavior in the framework of a lagrangian geometric theory with propagating torsion

2004-01-13

arxiv.org/abs/gr-qc/0401054v1

Int.J.Mod.Phys. D12 (2003) 1875-1888

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, no figures, to appear on Int. Journ. Mod. Phys.D

Scientific paper

10.1142/S0218271803003888

Working in the lagrangian framework, we develop a geometric theory in vacuum with propagating torsion; the antisymmetric and trace parts of the torsion tensor, considered as derived from local potential fields, are taken and, using the minimal action principle, their field equations are calculated. Actually these will show themselves to be just equations for propagating waves giving torsion a behavior similar to that of metric which, as known, propagates through gravitational waves. Then we establish a principle of minimal substitution to derive test particles equation of motion, obtaining, as result, that they move along autoparallels. We then calculate the analogous of the geodesic deviation for these trajectories and analyze their behavior in the nonrelativistic limit, showing that the torsion trace potential $\phi$ has a phenomenology which is indistinguishable from that of the gravitational newtonian field; in this way we also give a reason for why there have never been evidence for it.

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