E. E. Boos, I. P. Volobuev, Yu. A. Kubyshin, M. N. Smolyakov, “Effective Lagrangians of the Randall–Sundrum Model”, TMF, 131:2 (2002), 216–230; Theoret. and Math. Phys., 131:2 (2002), 629

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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 2, Pages 216–230
DOI: https://doi.org/10.4213/tmf326 (Mi tmf326)

This article is cited in 16 scientific papers (total in 16 papers)

Effective Lagrangians of the Randall–Sundrum Model

E. E. Boos^a, I. P. Volobuev^a, Yu. A. Kubyshin^a, M. N. Smolyakov^b

^a Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
^b M. V. Lomonosov Moscow State University

Full-text PDF (248 kB) Citations (16)

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DOI: https://doi.org/10.4213/tmf326

Abstract: We construct the second variation Lagrangian for the Randall–Sundrum model with two branes, study its gauge invariance, and introduce and decouple the corresponding equations of motion. For the physical degrees of freedom in this model, we find the effective four-dimensional Lagrangians describing the massless graviton, massive gravitons, and the massless scalar radion. We show that the masses of these fields and their matter coupling constants are different on the different branes.

Received: 30.10.2001

English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 2, Pages 629–640
DOI: https://doi.org/10.1023/A:1015420730826

Bibliographic databases:

Language: Russian

Citation: E. E. Boos, I. P. Volobuev, Yu. A. Kubyshin, M. N. Smolyakov, “Effective Lagrangians of the Randall–Sundrum Model”, TMF, 131:2 (2002), 216–230; Theoret. and Math. Phys., 131:2 (2002), 629–640

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf326

https://doi.org/10.4213/tmf326

https://www.mathnet.ru/eng/tmf/v131/i2/p216

This publication is cited in the following 16 articles:

E. E. Boos, V. E. Bunichev, I. P. Volobuev, V. O. Egorov, S. I. Keizerov, E. R. Rakhmetov, M. N. Smolyakov, “Physics and phenomenology of large extra dimensions”, Phys. Usp., 68:2 (2025), 111–145
Parvizi Sh., Shahbazi M., “the Stability and Gravitational Newtonian Limit of a Modified Randall-Sundrum Model”, Eur. Phys. J. C, 76:1 (2016), 21
Boos E.E. Bunichev V.E. Volobuev I.P. Smolyakov M.N., “Geometry, Physics, and Phenomenology of the Randall-Sundrum Model”, Phys. Part. Nuclei, 43:1 (2012), 42–78
I. S. Grinin, S. R. Ramazanov, M. N. Smolyakov, “Vacuum symmetries in brane-world models”, Theoret. and Math. Phys., 164:1 (2010), 947–959
Smolyakov M.N., “Hierarchy problem and the cosmological constant in a five-dimensional Brans-Dicke brane world model”, Gen Relativity Gravitation, 42:12 (2010), 2799–2811
Ohl T., Schenkel A., Uhlemann Ch.F., “Spacetime noncommutativity in models with warped extradimensions”, Journal of High Energy Physics, 2010, no. 7, 029
I. P. Volobuev, A. S. Mikhailov, Yu. S. Mikhailov, M. N. Smolyakov, “Gravity in the stabilized brane world model in the five-dimensional Brans–Dicke theory”, Theoret. and Math. Phys., 161:1 (2009), 1424–1437
Smolyakov, MN, “Doubling of background solution in 5D stabilized brane world model”, Journal of High Energy Physics, 2009, no. 11, 077
I. P. Volobuev, Yu. S. Mikhailov, M. N. Smolyakov, “Newtonian limit in the stabilized Randall–Sundrum model”, Theoret. and Math. Phys., 156:2 (2008), 1159–1168
E. E. Boos, I. P. Volobuev, Yu. S. Mikhailov, M. N. Smolyakov, “Linearized gravity in the Randall–Sundrum model with stabilized distance between branes”, Theoret. and Math. Phys., 149:3 (2006), 1591–1603
Smolyakov MN, “On the long-range gravity in warped backgrounds”, Nuclear Physics B, 724:1–2 (2005), 397–405
Edward E. Boos, Yuri S. Mikhailov, Mikhail N. Smolyakov, Igor P. Volobuev, “Energy scales in a stabilized brane world”, Nuclear Physics B, 717:1-2 (2005), 19
I. P. Volobuev, M. N. Smolyakov, “Exact Solutions for Linearized Gravity in the Randall–Sundrum Model”, Theoret. and Math. Phys., 139:1 (2004), 458–472
Smolyakov MN, “Brane-induced gravity in warped backgrounds and the absence of the radion”, Nuclear Physics B, 695:3 (2004), 301–312
Smolyakov MN, Volobuev IP, “Is there the radion in the RS2 model?”, Central European Journal of Physics, 2:1 (2004), 25–34
Toharia M, “The radion and the perturbative metric in RS1”, Modern Physics Letters A, 19:1 (2004), 37–47

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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