Strength of curvature singularities

This paper deals with several issues related to the strength of curvature singularities (a notion originally defined by Tipler). First, we construct a simple example of a spacetime which admits a strong curvature singularity even though the metric tensor is C⁰ and nondegenerate. Second, we propose a slightly modified definition of a strong singularity (to which we refer as a deformationally strong singularity), which better captures the physical essence of the strength. Finally, we show that a necessary condition for (Tipler’s) strong singularities, formulated by Clarke and Krolak, is also applicable to deformationally strong singularities.