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Title: Recovery of the Schwarzschild metric in theories with localized gravity beyond linear order

Abstract

We solve the Einstein equations in the Randall-Sundrum framework with a static, spherically symmetric matter distribution on the physical brane and obtain an approximate expression for the gravitational field outside the source to the second order in the gravitational coupling. This expression when confined on the physical brane coincides with the standard form of the Schwarzschild metric. Therefore, the Randall-Sundrum scenario is consistent with the Mercury precession and other tests of general relativity.

Authors:
;
Publication Date:
Sponsoring Org.:
(US)
OSTI Identifier:
40205008
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 63; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.63.024001; Othernumber: PRVDAQ000063000002024001000001; 034024PRD; PBD: 15 Jan 2001; Journal ID: ISSN 0556-2821
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DISTRIBUTION; GRAVITATIONAL FIELDS; MERCURY; PRECESSION; SCHWARZSCHILD METRIC

Citation Formats

Giannakis, Ioannis, and Ren, Hai-cang. Recovery of the Schwarzschild metric in theories with localized gravity beyond linear order. United States: N. p., 2001. Web. doi:10.1103/PhysRevD.63.024001.
Giannakis, Ioannis, & Ren, Hai-cang. Recovery of the Schwarzschild metric in theories with localized gravity beyond linear order. United States. https://doi.org/10.1103/PhysRevD.63.024001
Giannakis, Ioannis, and Ren, Hai-cang. 2001. "Recovery of the Schwarzschild metric in theories with localized gravity beyond linear order". United States. https://doi.org/10.1103/PhysRevD.63.024001.
@article{osti_40205008,
title = {Recovery of the Schwarzschild metric in theories with localized gravity beyond linear order},
author = {Giannakis, Ioannis and Ren, Hai-cang},
abstractNote = {We solve the Einstein equations in the Randall-Sundrum framework with a static, spherically symmetric matter distribution on the physical brane and obtain an approximate expression for the gravitational field outside the source to the second order in the gravitational coupling. This expression when confined on the physical brane coincides with the standard form of the Schwarzschild metric. Therefore, the Randall-Sundrum scenario is consistent with the Mercury precession and other tests of general relativity.},
doi = {10.1103/PhysRevD.63.024001},
url = {https://www.osti.gov/biblio/40205008}, journal = {Physical Review D},
issn = {0556-2821},
number = 2,
volume = 63,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2001},
month = {Mon Jan 15 00:00:00 EST 2001}
}