Weyl covariant quadratic curvature gravity in three-dimensional Riemann-Cartan-Weyl spacetimes

Abstract

We discuss locally Weyl (scale) covariant generalization of quadratic curvature gravity theory in three dimensions using Riemann-Cartan-Weyl spacetimes. We show that this procedure of Weyl gauging yields a consistent generalization for a particular class of quadratic curvature gravity theories which includes the new massive gravity theory.