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).
Abstract
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.
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