The Curzon singularity. I

Abstract

Some new properties of geodesies and other curves lying in the spatial sections t = const. of the Curzon solution are derived. These are shown to allow one to build up a new coordinate system in which the singularity appears unambiguously as a ring. A new region of spacelike infinity is also revealed on the "other side" of this ring, which can be approached by spatial geodesies threading through the ring. Show more