Timeline for Is there a relation between 4-dimensional general relativity and exotic smooth structures on $\mathbb{R}^4$?
Current License: CC BY-SA 4.0
6 events
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| Dec 2, 2022 at 7:52 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Dec 2, 2022 at 0:20 | comment | added | Igor Khavkine | @AlexM. Yes, these results have been strengthened and extended in various ways. In fact, there's been a bit of a revival of the literature on time functions in relativity and more generally on manifolds with cone structures in the last decade or so. Minguzzi (2019) is nice synthesis of recent developments. | |
| Dec 1, 2022 at 16:23 | comment | added | Alex M. | In fact, theorem 1.1 in "Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes" shows that the result that you mention can be strengthened to a Lorentzian isometry, not just to a diffeomorphism. Even more, theorem 1.2 in "Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions" shows that such a manifold always admits a nice foliation. | |
| Sep 30, 2011 at 14:25 | history | edited | Igor Khavkine | CC BY-SA 3.0 |
arXiv link now points to abstract, not PDF
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| Sep 21, 2011 at 1:06 | history | edited | Igor Khavkine | CC BY-SA 3.0 |
added 129 characters in body
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| Sep 20, 2011 at 23:58 | history | answered | Igor Khavkine | CC BY-SA 3.0 |