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

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.

preprint2010arXivOpen access
R. F. SobreiroV. J. Vasquez Otoya
math-phmath.MPgr-qchep-th
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R. F. SobreiroV. J. Vasquez Otoya

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