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Aspects of nonmetricity in gravity theories
2010
Brazilian journal of physics
In this work, we show that a class of metric-affine gravities can be reduced to a Riemann-Cartan one. The reduction is based on the cancelation of the nonmetricity against the symmetric components of the spin connection. A heuristic proof, in the Einstein-Cartan formalism, is performed in the special case of diagonal unitary tangent metric tensor. The result is that the nonmetric degrees of freedom decouple from the geometry. Thus, from the point of view of isometries on the tangent manifold,
doi:10.1590/s0103-97332010000400002
fatcat:h3na3gjcb5aldncqax5rlebd2m