A Note on Noncompact and Nonmetricit Quadratic Curvature Gravity Theories

Understand

In this note, we evaluate the Weyl-invariant quadratic curvature tensors for the particular Weyl's gauge field constructed in the $3+1$-dimensional noncompact Weyl-Einstein-Yang-Mills model.

• We subsequently extend the model to its higher curvature version.
• Here, we also compute Weyl-invariant extension of topological Gauss-Bonnet term for this specific choice of vector field.