Artigo
Gravitational Lorentz force and the description of the gravitational interaction
Fecha
1997-10-15Registro en:
Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 56, n. 8, p. 4689-4695, 1997.
0556-2821
10.1103/PhysRevD.56.4689
WOS:A1997YC32100026
2-s2.0-0000390090
2-s2.0-0000390090.pdf
1599966126072450
Autor
Universidade Estadual Paulista (Unesp)
Resumen
In the context of a gauge theory for the translation group, we have obtained, for a spinless particle, a gravitational analogue of the Lorentz force. Then, we have shown that this force equation can be rewritten in terms of magnitudes related to either the teleparallel or the Riemannian structures induced in spacetime by the presence of the gravitational field. In the first case, it gives a force equation, with torsion playing the role of force. In the second, it gives the usual geodesic equation of general relativity. The main conclusion is that scalar matter is able to feel any one of the above spacetime geometries, the teleparallel and the metric ones. Furthermore, both descriptions are found to be completely equivalent in the sense that they give the same physical trajectory for a spinless particle in a gravitational field.