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What is a shell-crossing singularity?

Published online by Cambridge University Press:  17 February 2009

Peter Szekeres  and
Anthony Lun
Peter Szekeres
Affiliation:
Department of Physics and Mathematical Physics, University of Adelaide, Adelaide SA 5005, Australia.
Anthony Lun
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 2 , October 1999 , pp. 167 - 179
Copyright
Copyright © Australian Mathematical Society 1999

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