Skip to main content
SpringerLink
Log in

Gauss–Codazzi formalism to brane-world within Brans–Dicke theory

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We apply the Gauss–Codazzi formalism to brane-worlds within the framework of Brans–Dicke gravity. The compactification is taken from six to five dimensions in order to formalize brane-world models with hybrid compactification in scalar tensor theories.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Horava, E. Witten, Nucl. Phys. B 460, 506 (1996) [hep-th/9510209]

    Article  ADS  MathSciNet  Google Scholar 

  2. V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 125, 136 (1983)

    Article  ADS  Google Scholar 

  3. V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 125, 139 (1983)

    Article  ADS  Google Scholar 

  4. N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 429, 263 (1998) [hep-ph/9803315]

    Article  ADS  Google Scholar 

  5. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 436, 257 (1998) [hep-ph/9804398]

    Article  ADS  Google Scholar 

  6. N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Rev. D 59, 086004 (1999) [hep-ph/9807344]

    Article  ADS  Google Scholar 

  7. L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999) [hep-ph/9905221]

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999) [hep-th/9906064]

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. K. Akama, Pregeometry, Lecture Notes in Physics, vol. 176, Gauge Theory and Gravitation, Proceedings, Nara, 1982, ed. by K. Kikkawa, N. Nakanishi, H. Nariai (Springer, Heidelberg, 1983), pp. 267–271

  10. T. Shiromizu, K. Maeda, M. Sasaki, Phys. Rev. D 62, 043523 (2000) [gr-qc/9910076v3]

    Article  MathSciNet  Google Scholar 

  11. R. Sundrum, TASI Lectures 2004, hep-th/0508134v2

  12. D. Yamauchi, M. Sasaki, 0705.2443v3 [gr-qc]

  13. C. Brans, R.H. Dicke, Phys. Rev. 124, 925 (1961)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. J. Scherk, J. Schwarz, Nucl. Phys. B 81, 223 (1974)

    Article  Google Scholar 

  15. C.G. Callan, D. Friedan, E.J. Martinec, M.J. Perry, Nucl. Phys. 262, 593 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  16. L. Perivolaropoulos, Phys. Rev. D 67, 123516 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  17. M.C.B. Abdalla, M.E.X. Guimarães, J.M. Hoff da Silva, Phys. Rev. D 75, 084028 (2007) [hep-th/0703234]

    Article  ADS  MathSciNet  Google Scholar 

  18. M.C.B. Abdalla, M.E.X. Guimarães, J.M. Hoff da Silva, 0707.0233 [hep-th]

  19. P. Bostock, R. Gregory, I. Navarro, J. Santiago, Phys. Rev. Lett. 92, 221601 (2004) [hep-th/0311074v2]

    Article  ADS  MathSciNet  Google Scholar 

  20. R. Geroch, J. Traschen, Phys. Rev. D 36, 1017 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  21. P. Binetruy, C. Deffayet, D. Lanlois, Nucl. Phys. B 565, 269 (2000) [hep-th/9905012]

    Article  MATH  ADS  Google Scholar 

  22. M.W. Clifford, Living Rev. Relat. 9, 3 (2006) [gr-qc/0510072v2]

    Google Scholar 

  23. M.C.B. Abdalla, M.E.X. Guimarães, J.M. Hoff da Silva, submitted for publication (2008) arXiv:0707.0233

  24. R. Maartens, Living Rev. Relat. 7, 7 (2004) [gr-qc/0312059]

    ADS  Google Scholar 

  25. W. Israel, Nuovo Cim. B 44S10, 1 (1966)

    Article  Google Scholar 

  26. P. MacFadden, PhD Thesis (2006), hep-th/0612008v2

Download references

Author information

Authors and Affiliations

  1. Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SP, Brazil

    M.C.B. Abdalla & J.M. Hoff da Silva

  2. Instituto de Física, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza, s/n, 24210-346, Niterói, RJ, Brazil

    M.E.X. Guimarães

Authors
  1. M.C.B. Abdalla
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M.E.X. Guimarães
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J.M. Hoff da Silva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M.E.X. Guimarães.

Additional information

PACS

04.50.+h; 98.80.Cq

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abdalla, M., Guimarães, M. & Hoff da Silva, J. Gauss–Codazzi formalism to brane-world within Brans–Dicke theory. Eur. Phys. J. C 55, 337–342 (2008). https://doi.org/10.1140/epjc/s10052-008-0577-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-008-0577-7

Keywords

Search

Navigation