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Recovery of the Schwarzschild Metric in Theories with Localized Gravity Beyond Linear Order

Ioannis Giannakis·Hai-cang Ren
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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.

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Ioannis Giannakis, Hai-cang Ren. 2000-07-13. Recovery of the Schwarzschild Metric in Theories with Localized Gravity Beyond Linear Order. https://doi.org/10.1103/physrevd.63.024001

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