What is a shell-crossing singularity?

Authors
Szekeres, P Lun, A
Citation
P. Szekeres et A. Lun, What is a shell-crossing singularity?, J AUS MAT B, 41, 1999, pp. 167-179
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS
ISSN journal
03342700 → ACNP
Volume
41
Year of publication
1999
Part
2
Pages
167 - 179
Database
ISI
SICI code
0334-2700(199910)41:<167:WIASS>2.0.ZU;2-U
Abstract
A detailed discussion of Newtonian and general relativistic spherically sym metric dust solutions leads to the following suggested criteria for a singu larity to be classified as a shell-cross: (I) 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 whi ch is C-1 regular, that is it can be transformed away by a C-1 coordinate t ransformation.