The non linear perturbation of the Kerr spacetime in an external region
| Autor: | Caciotta, Giulio, Nicolò, Francesco |
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| Rok vydání: | 2009 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove, outside the influence region of a ball of radius $R_0$ centered in the origin of the initial data hypersurface, the existence of global solutions near to Kerr spacetime, provided that the initial data are sufficiently near to those of Kerr; This external region is the "far" part of the outer region of the perturbed Kerr spacetime. Moreover if we assume that the corrections to the Kerr metric decay sufficiently fast, $o(r^{-3})$, we prove that the various null components of the Riemann tensor decay in agreement with the "Peeling theorem". Comment: 118 pages |
| Databáze: | arXiv |
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