What is a shell-crossing singularity?

被引：28

作者：

Szekeres, P ^{[1
]}

Lun, A

机构：

[1] Univ Adelaide, Dept Phys & Math Phys, Adelaide, SA 5005, Australia

[2] Monash Univ, Dept Math, Clayton, Vic 3168, Australia

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1999年 / 41卷

关键词：

D O I：

10.1017/S0334270000011140

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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: (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 which is C-1 regular, that is it can be transformed away by a C-1 coordinate transformation.

引用

页码：167 / 179

页数：13