Timeline for convergence theory -> lorentzian geometry
Current License: CC BY-SA 3.0
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| Oct 27, 2011 at 12:38 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 30, 2011 at 20:39 | comment | added | michael | In Prof Sormani's article, the question of stability appears after mentioning the interest of the question of convergence theory w.r.t. general relativity. In mathematical relativity literature, stability results refer to my knowledge either to Klainerman-Christodoulou (resp. Klainerman-Nicolo or Lindblad-Rodnianski) type results or current work on non-linear stability of Kerr (Dafermos, Rodnianski ...). I may be wrong but i suppose that it is reasonable to give this hypothesis. | |
| Aug 30, 2011 at 9:17 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 30, 2011 at 6:46 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 30, 2011 at 6:24 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 30, 2011 at 6:02 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 30, 2011 at 5:56 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 30, 2011 at 5:49 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 30, 2011 at 5:35 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 30, 2011 at 5:26 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 29, 2011 at 7:12 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 29, 2011 at 7:07 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 28, 2011 at 20:39 | vote | accept | michael | ||
| Aug 28, 2011 at 20:39 | vote | accept | michael | ||
| Aug 28, 2011 at 20:39 | |||||
| Aug 28, 2011 at 20:25 | comment | added | michael | I understand the remark in Sormani's article on the fact that no stability result is known using your notion of convergence in the sense of non-linear stability in GR. Does $(\Sigma_i,g_i,k_i) \rightarrow (\Sigma,g,k)$ in the sense of convergence of riemannian manifold imply some kind of convergence of the globally hyperbolic vacuum development. It's what you could expect from a good convergence theory from lorentzian manifold i suppose ... of course such result seems completely out of reach (expect maybe in the cases for which non linear stability is known). | |
| Aug 28, 2011 at 16:16 | history | edited | Johan Noldus | CC BY-SA 3.0 |
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| Aug 28, 2011 at 16:00 | history | answered | Johan Noldus | CC BY-SA 3.0 |