Abstract
We show that space-time is future asymptotically predictable from a regular partial Cauchy provided that singularities are causally preceded by trapped sets. Future asymptotic predictability is a formal statement of cosmic censorship in asymptotically flat space-times. A regular partial Cauchy surface means that singularities in gravitational collapse can arise only from regular initial data. Our result confirms a supposition by Hawking that singularities forced by singularity theorems cannot be naked.
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Królak, A., Rudnicki, W. Singularities, trapped sets, and cosmic censorship in asymptotically flat space-times. Int J Theor Phys 32, 137–142 (1993). https://doi.org/10.1007/BF00674401
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DOI: https://doi.org/10.1007/BF00674401