On the topological reduction from the affine to the orthogonal gauge theory of gravity

Details On the topological reduction from the affine to the orthogonal gauge theory of gravity On the topological reduction from the affine to the orthogonal gauge theory of gravity

2010-03-04

arxiv.org/abs/1003.1102v2

J.Geom.Phys.61:137-150,2011

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, no figures. V2: Title changed, Small changes on the text, references added. Final version to appear in Journal Of Ge

Scientific paper

10.1016/j.geomphys.2010.09.009

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.

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