%0 Journal Article %T Recovery of the Schwarzschild Metric in Theories with Localized Gravity Beyond Linear Order %A Ioannis Giannakis %A Hai-cang Ren %J Physics %D 2000 %I arXiv %R 10.1103/PhysRevD.63.024001 %X We solve the Einstein equations in the Randall-Sundrum framework with a static, spherically symmetric matter distribution on the {\it physical brane} and obtain an approximate expression for the gravitational field outside the source to second order in the gravitational coupling. This expression when confined on the {\it physical brane} coincides with the standard form of the Schwarzschild metric. Therefore, the Randall-Sundrum scenario is consistent with the Mercury precession test of General Relativity. %U http://arxiv.org/abs/hep-th/0007053v2