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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 139, Number 1, Pages 12–28
DOI: https://doi.org/10.4213/tmf50 (Mi tmf50) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Exact Solutions for Linearized Gravity in the Randall–Sundrum Model

I. P. Volobueva, M. N. Smolyakovb

a Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
b M. V. Lomonosov Moscow State University
Full-text PDF (269 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf50
Abstract: 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.
English version:
Theoretical and Mathematical Physics, 2004, Volume 139, Issue 1, Pages 458–472
DOI: https://doi.org/10.1023/B:TAMP.0000022739.83942.bc
Bibliographic databases:
Language: Russian
Citation: I. P. Volobuev, M. N. Smolyakov, “Exact Solutions for Linearized Gravity in the Randall–Sundrum Model”, TMF, 139:1 (2004), 12–28; Theoret. and Math. Phys., 139:1 (2004), 458–472
Citation in format AMSBIB
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\by I.~P.~Volobuev, M.~N.~Smolyakov
\paper Exact Solutions for Linearized Gravity in the Randall--Sundrum Model
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004TMP...139..458V}
\transl
\jour Theoret. and Math. Phys.
\yr 2004
\vol 139
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\pages 458--472
\crossref{https://doi.org/10.1023/B:TAMP.0000022739.83942.bc}
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Linking options:
  • https://www.mathnet.ru/eng/tmf50
  • https://doi.org/10.4213/tmf50
  • https://www.mathnet.ru/eng/tmf/v139/i1/p12
    • This publication is cited in the following 7 articles:
    1. 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  crossref  adsnasa  isi  elib  scopus  scopus
    2. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. Smolyakov, MN, “Single-brane world with stabilized extra dimension”, International Journal of Modern Physics A, 23:5 (2008), 760  crossref  mathscinet  adsnasa  isi  scopus  scopus
    4. Smolyakov MN, Volobuev IP, “A non-standard matter distribution in the RS1 model and the coupling constant of the radion”, Classical and Quantum Gravity, 22:20 (2005), 4325–4334  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    5. Smolyakov MN, “On the long-range gravity in warped backgrounds”, Nuclear Physics B, 724:1–2 (2005), 397–405  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    6. Arnowitt R, Dent J, “Gravitational forces in the brane world”, Physical Review D, 71:12 (2005), 124024  crossref  mathscinet  adsnasa  isi  scopus  scopus
    7. Smolyakov MN, “Brane-induced gravity in warped backgrounds and the absence of the radion”, Nuclear Physics B, 695:3 (2004), 301–312  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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