Recovery of the Schwarzschild Metric in Theories with Localized Gravity Beyond Linear Order
arXiv:hep-th/0007053 · doi:10.1103/PhysRevD.63.024001
Abstract
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.
17 pages, plain Tex, references added, typos corrected
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