标题： Kerr时空外部区域的非线性扰动 显示英文标题

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

摘要： 我们证明，在初始数据超曲面原点为中心的半径为$R_0$的球体的影响区域之外，若初始数据足够接近克尔时空的数据，则存在接近克尔时空的全局解；此外部区域是扰动克尔时空外区域的“远”部分。 此外，如果我们假设对克尔度规的修正足够快地衰减，$o(r^{-3})$，则我们证明黎曼张量的各种空矢分量的衰减与“剥皮定理”一致。 显示英文摘要

摘要： 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".