Adelaide Research & Scholarship
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https://hdl.handle.net/2440/12554
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| Type: | Journal article |
| Title: | What is a shell-crossing singularity? |
| Author: | Szekeres, P. Lun, A. |
| Citation: | Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 1999; 41(2):167-179 |
| Publisher: | Cambridge University Press (CUP) |
| Issue Date: | 1999 |
| ISSN: | 0334-2700 1839-4078 |
| Statement of Responsibility: | Peter Szekeres and Anthony Lun |
| Abstract: | 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 C2 singularity which is C1 regular, that is it can be transformed away by a C1 coordinate transformation. |
| Rights: | © Australian Mathematical Society 1999 |
| DOI: | 10.1017/S0334270000011140 |
| Published version: | http://dx.doi.org/10.1017/s0334270000011140 |
| Appears in Collections: | Aurora harvest 7 Physics publications |
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