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

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.

arXiv comment22 pages, no figures. V2: Title changed, Small changes on the text, references added. Final version to appear in Journal Of Geometry and Physics

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Cited by in corpus (11)

• $D=4$ topological gravity from gauging the Maxwell-special-affine group
• Maxwell-affine gauge theory of gravity
• de Sitter gauge theories and induced gravities
• From $SL(5,\mathbb{R})$ Yang-Mills theory to induced gravity
• Affine gauge theory of gravity and its reduction to the Riemann-Cartan geometry
• Gauge theories and gravity
• Constrained gauge-gravity duality in three and four dimensions
• Induced gravity from gauge theories
• Maxwell-Modified Metric Affine Gravity
• Affine connection representation of gauge fields
• Homological aspects of topological gauge-gravity equivalence