Physics
Scientific paper
Dec 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1022d&link_type=abstract
"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R
Physics
Scientific paper
Teleparallel gravity1-9 corresponds to a gauge theory for the translation group.10,11 Due to the peculiar character of translations, any gauge theory including these transformations will differ from the usual internal gauge models in many ways, the most significant being the presence of a tetrad field.12 On the other hand, a tetrad field can naturally be used to define a linear Weitzenböck connection, which is a connection presenting torsion, but no curvature. A tetrad field can also naturally be used to define a riemannian metric, in terms of which a Levi-Civita connection can be constructed. As is well known, it is a connection presenting curvature, but no torsion. Therefore we can say that the presence of a nontrivial tetrad field in a gauge theory induces both a teleparallel and a riemannian structures in spacetime. The first is related to the Weitzenböck, and the second to the Levi-Civita connection. Owing to the universality of the gravitational interaction, it turns out to be possible to link these geometrical structures to gravitation, a characteristic not presented by other interactions of Nature...
de Andrade Vanessa C.
Guillen L. C. T.
Pereira J. G.
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