Skip to main content
Log in

Consistent ADD scenario with stabilized extra dimension

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

A model with one compact extra dimension and a scalar field of Brans–Dicke type in the bulk is discussed. It describes two branes with non-zero tension embedded into the space-time with flat background. This setup allows one to use a very simple method for stabilization of the size of extra dimension. It appears that the four-dimensional Planck mass is expressed only through parameters of the scalar field potentials on the branes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Arkani-Hamed N., Dimopoulos S. and Dvali G. (1998). The hierarchy problem and new dimensions at a millimeter. Phys. Lett. B 429: 263

    Article  ADS  Google Scholar 

  2. Antoniadis I., Arkani-Hamed N., Dimopoulos S. and Dvali G. (1998). New dimensions at a millimeter to a Fermi and superstrings at a TeV. Phys. Lett. B 436: 257

    Article  ADS  Google Scholar 

  3. Randall L. and Sundrum R. (1999). A large mass hierarchy from a small extra dimension. Phys. Rev. Lett. 83: 3370

    Article  ADS  MathSciNet  Google Scholar 

  4. Rubakov V.A. (2001). Large and infinite extra dimensions: an introduction. Phys. Usp. 44: 871

    Article  Google Scholar 

  5. Kubyshin, Yu.A.: Models with extra dimensions and their phenomenology, arXiv:hep-ph/0111027

  6. Mendes L.E. and Mazumdar A. (2001). Brans–Dicke brane cosmology. Phys. Lett. B 501: 249

    Article  ADS  Google Scholar 

  7. Arik M. and Ciftci D. (2005). Brane world cosmology in Jordan–Brans–Dicke theory. Gen. Rel. Grav. 37: 2211

    Article  ADS  MathSciNet  Google Scholar 

  8. Misner W., Thorne K. and Wheeler J. (1973). Gravitation. W. H. Freeman, San Francisco

    Google Scholar 

  9. Goldberger W.D. and Wise M.B. (1999). Modulus stabilization with bulk fields. Phys. Rev. Lett. 83: 4922

    Article  ADS  Google Scholar 

  10. DeWolfe O., Freedman D.Z., Gubser S.S. and Karch A. (2000). Modeling the fifth dimension with scalars and gravity. Phys. Rev. D 62: 046008

    Article  ADS  MathSciNet  Google Scholar 

  11. Kanti P., Olive K.A. and Pospelov M. (2000). Static solutions for brane models with a bulk scalar field. Phys. Lett. B 481: 386

    Article  ADS  MathSciNet  Google Scholar 

  12. Smolyakov M.N. and Volobuev I.P. (2004). Is there the radion in the RS2 model?. Central Eur. J. Phys. 2: 25

    Article  Google Scholar 

  13. Shiromizu T., Maeda K.i. and Sasaki M. (2000). The Einstein equations on the 3-brane world. Phys. Rev. D 62: 024012

    Article  ADS  MathSciNet  Google Scholar 

  14. Maeda K.i. and Wands D. (2000). Dilaton gravity on the brane. Phys. Rev. D 62: 124009

    Article  ADS  MathSciNet  Google Scholar 

  15. Csaki C., Graesser M.L. and Kribs G.D. (2001). Radion dynamics and electroweak physics. Phys. Rev. D 63: 065002

    Article  ADS  Google Scholar 

  16. Boos E.E., Mikhailov, Yu. S., Smolyakov M.N. and Volobuev I.P. (2005). Energy scales in a stabilized brane world. Nucl. Phys. B 717: 19

    Article  ADS  MathSciNet  Google Scholar 

  17. Smolyakov M.N. (2004). Brane induced gravity in warped backgrounds and the absence of the radion. Nucl. Phys. B 695: 301

    Article  ADS  MathSciNet  Google Scholar 

  18. Dvali G.R., Gabadadze G. and Porrati M. (2000). 4D gravity on a brane in 5D Minkowski space. Phys. Lett. B 485: 208

    Article  ADS  MathSciNet  Google Scholar 

  19. van Dam H. and Veltman M.J. (1970). Massive and massless Yang-Mills and gravitational fields. Nucl. Phys. B 22: 397

    Article  ADS  Google Scholar 

  20. Zakharov V.I. (1970). Linearized gravitation theory and the graviton mass. JETP Lett. 12: 312

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. N. Smolyakov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smolyakov, M.N. Consistent ADD scenario with stabilized extra dimension. Gen Relativ Gravit 39, 41–53 (2007). https://doi.org/10.1007/s10714-006-0366-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-006-0366-2

Keywords

Navigation