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arXiv · 0908.4330

The non linear perturbation of the Kerr spacetime in an external region

Giulio Caciotta·Francesco Nicolò
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Abstract

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".

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Giulio Caciotta, Francesco Nicolò. 2009-08-29. The non linear perturbation of the Kerr spacetime in an external region. https://arxiv.org/abs/0908.4330

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