Horizons Non-Differentiable on a Dense Set

被引：0
|
作者：
Piotr T. Chruściel
Gregory J. Galloway
机构：
[1] Département de Mathématiques,
[2] Faculté des Sciences,undefined
[3] Parc de Grandmont,undefined
[4] F37200 Tours,undefined
[5] France.¶E-mail: Chrusciel@Univ-Tours.fr,undefined
[6] Department of Mathematics and Computer Science,undefined
[7] University of Miami,undefined
[8] Coral Gables FL 33124,undefined
[9] USA. E-mail: galloway@math.miami.edu,undefined
来源：
Communications in Mathematical Physics | 1998年 / 193卷
关键词：
Black Hole; General Relativist; Open Subset; Event Horizon; Cauchy Horizon;
D O I：
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学科分类号：
摘要：
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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页码：449 / 470
页数：21
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