Universality and constant scalar curvature invariants

Abstract

A classical solution is called universal if the quantum correction is a multiple of the metric. Universal solutions consequently play an important role in the quantum theory. We show that in a spacetime which is universal all of the scalar curvature invariants are constant (i.e., the spacetime is CSI).

References in corpus (3)

• Classification of the Weyl Tensor in Higher Dimensions and Applications
• Metrics With Vanishing Quantum Corrections
• FKWC-bases and geometrical identities for classical and quantum field theories in curved spacetime