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'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.

arXiv comment9 pages, v4, completely revised version

References in corpus (1)

• Weyl-invariant Higher Curvature Gravity Theories in n Dimensions and Mass Generation by Symmetry Breaking

Cited by in corpus (3)

• Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation
• Weyl-invariant Higher Curvature Gravity Theories in n Dimensions and Mass Generation by Symmetry Breaking
• Topologically Massive Gravity: Anyon Scattering, Weyl-Gauging and Causality