Geodesic
Exact Solutions for Linearized Gravity in the Randall--Sundrum Model
Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 1, pp. 12-28

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We find exact solutions of the equations of motion for linearized gravity in the Randall–Sundrum model with matter on the branes and calculate the Newtonian limit of the model. The results established include the contributions of the radion and the massive gravitons, which essentially modify Newton's law at short distances. We consider the effects produced by shadow matter situated on the other brane and compare them with the effect of the usual matter for branes with positive and negative tension. We also calculate the deflection of light and Newton's law in the zero-mode approximation and explicitly isolate the contribution of the radion field.
Keywords: Kaluza–Klein theory, branes, linearized gravity, Newtonian limit. 
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     author = {I. P. Volobuev and M. N. Smolyakov},
     title = {Exact {Solutions} for {Linearized} {Gravity} in the {Randall--Sundrum} {Model}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_139_1_a1/}
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I. P. Volobuev; M. N. Smolyakov. Exact Solutions for Linearized Gravity in the Randall--Sundrum Model. Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 1, pp. 12-28. http://geodesic.mathdoc.fr/item/TMF_2004_139_1_a1/