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Эта публикация цитируется в 11 научных статьях (всего в 11 статьях)
Cosmic censorship of smooth structures
V. Chernova, S. Nemirovskibc a Department of Mathematics, 6188 Kemeny Hall, Dartmouth College, Hanover, NH 03755, USA
b Steklov Mathematical Institute, 119991 Moscow, Russia
c Mathematisches Institut, Ruhr-Universität Bochum, 44780 Bochum, Germany
Аннотация:
It is observed that on many $4$-manifolds there is a unique smooth structure underlying a globally hyperbolic Lorentz metric. For instance, every contractible smooth $4$-manifold admitting a globally hyperbolic Lorentz metric is diffeomorphic to the standard $\mathbb{R}^4$. Similarly, a smooth $4$-manifold homeomorphic to the product of a closed oriented $3$-manifold $N$ and $\mathbb{R}$ and admitting a globally hyperbolic Lorentz metric is in fact diffeomorphic to $N\times\mathbb{R}$. Thus one may speak of a censorship imposed by the global hyperbolicty assumption on the possible smooth structures on $(3+1)$-dimensional spacetimes.
Поступила в редакцию: 17.02.2012 Принята в печать: 23.09.2012
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cmph7
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