A note on noncompact and nonmetricit quadratic curvature gravity theories

Abstract

In this note, we evaluate the Weyl-invariant quadratic curvature tensors for the particular Weyl gauge field constructed in the 3 + 1-dimensional noncompact Weyl Einstein Yang Mills model. We subsequently extend the model to its higher curvature version. We also compute the Weyl-invariant extension of the topological Gauss Bonnet term for this specific choice of vector field.