What is a shell crossing singularity?
Peter Szekeres and Anthony W. Lun
ADP-95-24/M33, J. Austral. Math. Soc. B41 (1999) 167-179.
Paper presented at the Inaugural Australian General Relativity Workshop, Canberra, 26-30 Sep 1994.

A detailed discussion of Newtonian and general relativistic spherically symmetric dust solutions leads to the following suggested criteria for a singularity to be classified as a shell-cross: (1) All Jacobi fields have finite limits (in an orthonormal parallel propagated frame) as they approach the singularity. (2) The boundary region forms an essential C^2 singularity which is C^1 regular, i.e. it can be transformed away by a C^1 coordinate transformation.

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