Generalised hyperbolicity in singular space-times

Clarke, C.J.S. (1998) Generalised hyperbolicity in singular space-times. Classical and Quantum Gravity, 15, (4), 975-984. (doi:10.1088/0264-9381/15/4/018).


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A new concept analogous to global hyperbolicity is introduced, based on test fields. This leads to a new distinction between regularity and singularity. Points in the spacetimes termed here `curve integrable' are regular in this new sense, and a plausibility argument is given suggesting that the result applies to shell-crossing singularities. If the assumptions behind this last argument are valid, this provides an alternative route to the assertion that such apparent singularities do not violate cosmic censorship.

Item Type: Article
Related URLs:
Subjects: Q Science > QC Physics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29231
Date Deposited: 23 Feb 2007
Last Modified: 27 Mar 2014 18:17

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