Abstract:
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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Received: 17 April 1997 / Accepted: 9 September 1997
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Chruściel, P., Galloway, G. Horizons Non-Differentiable on a Dense Set . Comm Math Phys 193, 449–470 (1998). https://doi.org/10.1007/s002200050336
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DOI: https://doi.org/10.1007/s002200050336