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The assumption that matter charges and currents could generate fields, which are called, in analogy with electromagnetism, gravitoeletric and gravitomagnetic fields, dating from the origins of General Relativity (GR). On the other hand, the Teleparallel Equivalent of GR (TEGR), as a gauge theory, seems to be the ideal scenario to define these fields, based on the gauge field strength components. The purpose of the present work is to investigate the nature of the gravitational electric and magnetic fields in the context of the TEGR, where the tetrad formalism on which it is based seems more suited to deal with phenomena related to observers. As its applications, we have studied the gravito-electromagnetic fields for the Schwarzschild solution and for the geometry produced by a spherical rotating shell in slow motion and weak field regime. The expressions obtained, at the linear regime, are very similar to those of electromagnetism. [ABSTRACT FROM AUTHOR]

By generalizing the Hodge dual operator to the case of soldered bundles, and working in the context of the teleparallel equivalent of general relativity, an analysis of the duality symmetry in gravitation is performed. Although the basic conclusion is that, at least in the general case, gravitation is not dual symmetric, there is a particular theory in which this symmetry shows up. It is a self dual (or anti-self dual) teleparallel gravity in which, due to the fact that it does not contribute to the interaction of fermions with gravitation, the purely tensor part of torsion is assumed to vanish. The ensuing fermionic gravitational interaction is found to be chiral. Since duality is intimately related to renormalizability, this theory may eventually be more amenable to renormalization than teleparallel gravity or general relativity. [ABSTRACT FROM AUTHOR]