``Nowhere'' differentiable horizons

Details ``Nowhere'' differentiable horizons ``Nowhere'' differentiable horizons

1996-11-12

arxiv.org/abs/gr-qc/9611032v1

Commun.Math.Phys. 193 (1998) 449-470

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, Latex with pstricks and graphicx, 4 ps figures

Scientific paper

10.1007/s002200050336

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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