"Singularities" in spacetimes with diverging higher-order curvature invariants

Abstract

After reviewing the definitions of classical and quantum singularities, it is shown by example that if zeroth-order curvature invariants are regular, a diverging higher-order curvature invariant does not necessarily imply the existence of a classical or a quantum singularity.

3 pages, no figures, submitted to the Proceedings of the 12th Marcel Grossmann Meeting on General Relativity and Gravitation, Paris, July 13-18, 2009