Geodesic
Exact Solutions for Linearized Gravity in the Randall–Sundrum Model
Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 1, pp. 12-28 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{TMF_2004_139_1_a1,
     author = {I. P. Volobuev and M. N. Smolyakov},
     title = {Exact {Solutions} for {Linearized} {Gravity} in the {Randall{\textendash}Sundrum} {Model}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {12--28},
     year = {2004},
     volume = {139},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_139_1_a1/}
}
TY  - JOUR
AU  - I. P. Volobuev
AU  - M. N. Smolyakov
TI  - Exact Solutions for Linearized Gravity in the Randall–Sundrum Model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2004
SP  - 12
EP  - 28
VL  - 139
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2004_139_1_a1/
LA  - ru
ID  - TMF_2004_139_1_a1
ER  - 
%0 Journal Article
%A I. P. Volobuev
%A M. N. Smolyakov
%T Exact Solutions for Linearized Gravity in the Randall–Sundrum Model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2004
%P 12-28
%V 139
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2004_139_1_a1/
%G ru
%F TMF_2004_139_1_a1
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/

[1] L. Randall, R. Sundrum, Phys. Rev. Lett., 83 (1999), 3370 | DOI | MR | Zbl

[2] V. A. Rubakov, UFN, 171 (2001), 913 ; I. Antoniadis, String and D-brane physics at low energy, E-print hep-th/0102202 | DOI

[3] E. E. Boos, I. P. Volobuev, Yu. A. Kubyshin, M. N. Smolyakov, TMF, 131:2 (2002), 216 | DOI | MR | Zbl

[4] J. Garriga, T. Tanaka, Phys. Rev. Lett., 84 (2000), 2778 | DOI | MR | Zbl

[5] I. Ya. Aref'eva, M. G. Ivanov, W. Mück, K. S. Viswanathan, I. V. Volovich, Nucl. Phys. B, 590 (2000), 273 | DOI | MR | Zbl

[6] V. A. Rubakov, M. E. Shaposhnikov, Phys. Lett. B, 125 (1983), 136 ; 139 | DOI

[7] L. Randall, R. Sundrum, Phys. Rev. Lett., 83 (1999), 4690 | DOI | MR | Zbl

[8] N. Arkani-Hamed, S. Dimopoulos, J. March-Russel, Phys. Rev. D, 63 (2001), 064020 | DOI

[9] R. Sundrum, Phys. Rev. D, 59 (1999), 085010 | DOI | MR

[10] Ch. Charmousis, R. Gregory, V. Rubakov, Phys. Rev. D, 62 (2000), 067505 ; C. Csáki, M. Graesser, L. Randall, J. Terning, Phys. Rev. D, 62 (2000), 045015 ; W. D. Goldberger, M. B. Wise, Phys. Lett. B, 475 (2000), 275 ; A. Das, A. Mitov, Phys. Rev. D, 66 (2002), 045030 | DOI | MR | DOI | MR | DOI | MR | DOI | MR

[11] L. D. Landau, E. M. Lifshits, Teoriya polya, Nauka, M., 1967 | MR | Zbl

[12] S. Veinberg, Gravitatsiya i kosmologiya, Platon, Volgograd, 2000

[13] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady: elementarnye funktsii, Nauka, M., 1981 | MR | Zbl

[14] W. D. Goldberger, M. B. Wise, Phys. Rev. Lett., 83 (1999), 4922 | DOI

[15] S. C. Davis, Phys. Lett. B, 499 (2001), 179 ; ; Y. Grats, A. Rossikhin, Mod. Phys. Lett. A, 17 (2002), 1207 ; E-print hep-ph/0010255E-print hep-ph/0201084 | DOI | Zbl | DOI | Zbl