Second order metric singularities

Abstract

In a previous paper [21] the author proved existence and uniqueness of geodesics through second order metric singularities tangent to weakly radial and strongly radial vectors respectively. In this paper we prove that a pregeodesic through a second order metric singularity can be reparametrized to one of these geodesics. So we have found all pregeodesics through the second order metric singularity.