Weyl Covariant Theories of Gravity in Riemann-Cartan-Weyl Space-times I. Topologically Massive Gravity

Abstract

We discuss locally Weyl (scale) covariant generalisations of gravitational theories using Riemann-Cartan-Weyl space-times in arbitrary dimensions. We demonstrate the procedure of Weyl gauging on two examples in particular: General relativity, and topologically massive gravity in three dimensions.

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