Geodesic
Linearized gravity in the~Randall--Sundrum model with stabilized
Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 3, pp. 339-353

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We consider linearized gravity in the Randall–Sundrum model in which the distance between branes is stabilized by introducing the scalar Goldberger–Wise field. We construct the second variation Lagrangian for fluctuations of gravitational and scalar fields over the background solution and investigate its gauge invariance. We obtain, separate, and solve the corresponding equations of motion. For physical degrees of freedom, we obtain the effective four-dimensional Lagrangian describing the massless graviton, massive gravitons, and the set of massive scalar fields. We also find masses and coupling constants of these fields to the matter on the negative-tension brane.
Keywords: Kaluza–Klein theory, radion stabilization, linearized gravity.
Mots-clés : brane 
@article{TMF_2006_149_3_a1,
     author = {E. E. Boos and I. P. Volobuev and Yu. S. Mikhailov and M. N. Smolyakov},
     title = {Linearized gravity in {the~Randall--Sundrum} model with stabilized},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {339--353},
     publisher = {mathdoc},
     volume = {149},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_149_3_a1/}
}
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E. E. Boos; I. P. Volobuev; Yu. S. Mikhailov; M. N. Smolyakov. Linearized gravity in the~Randall--Sundrum model with stabilized. Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 3, pp. 339-353. http://geodesic.mathdoc.fr/item/TMF_2006_149_3_a1/