On the topological reduction from the affine to the orthogonal gauge theory of gravity
arXiv:1003.1102 · doi:10.1016/j.geomphys.2010.09.009
Abstract
Making use of the fibre bundle theory to describe metric-affine gauge theories of gravity we are able to show that metric-affine gauge theory can be reduced to the Riemann-Cartan one. The price we pay for simplifying the geometry is the presence of matter fields associated with the nonmetric degrees of freedom of the original setup. Also, a possible framework for the construction of a quantum gravity theory is developed along the text.
22 pages, no figures. V2: Title changed, Small changes on the text, references added. Final version to appear in Journal Of Geometry and Physics