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arxiv: gr-qc/9611032 · v1 · submitted 1996-11-12 · 🌀 gr-qc

``Nowhere'' differentiable horizons

P.T. Chrusciel , G.J. Galloway This is my paper
classification 🌀 gr-qc
keywords differentiablehorizonhorizonssubsetwellamongstbehavedblack
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It is folklore knowledge amongst general relativists that horizons are well behaved, continuously differentiable hypersurfaces except perhaps on a negligible subset one needs not to bother with. We show that this is not the case, by constructing a Cauchy horizon, as well as a black hole event horizon, which contain no open subset on which they are differentiable.

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