Advertisement

Braneworlds scenarios in a gravity model with higher order spatial three-curvature terms

  • F. S. BemficaEmail author
  • M. Dias
  • M. Gomes
  • J. M. Hoff da Silva
Regular Article - Theoretical Physics

Abstract

In this work we study a Hořava-like 5-dimensional model in the context of braneworld theory. The equations of motion of such model are obtained and, within the realm of warped geometry, we show that the model is consistent if and only if λ takes its relativistic value 1. Furthermore, we show that the elimination of problematic terms involving the warp factor second order derivatives are eliminated by imposing detailed balance condition in the bulk. Afterwards, Israel’s junction conditions are computed, allowing the attainment of an effective Lagrangian in the visible brane. In particular, we show that the resultant effective Lagrangian in the brane corresponds to a (3+1)-dimensional Hořava-like model with an emergent positive cosmological constant but without detailed balance condition. Now, restoration of detailed balance condition, at this time imposed over the brane, plays an interesting role by fitting accordingly the sign of the arbitrary constant β, insuring a positive brane tension and a real energy for the graviton within its dispersion relation. Also, the brane consistency equations are obtained and, as a result, the model admits positive brane tensions in the compactification scheme if, and only if, β is negative and the detailed balance condition is imposed.

Keywords

Cosmological Constant Extrinsic Curvature Warp Factor Compactification Scheme Positive Tension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgement

This work was partially supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) and Conselho Nacional de Pesquisas (CNPq).

References

  1. 1.
    K.S. Stelle, Phys. Rev. D 16, 953 (1977) MathSciNetADSCrossRefGoogle Scholar
  2. 2.
    P. Horava, Phys. Rev. D 79, 084008 (2009) MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    D. Orlando, S. Reffert, Class. Quantum Gravity 26, 155021 (2009) ADSCrossRefGoogle Scholar
  4. 4.
    F.S. Bemfica, M. Gomes, Phys. Rev. D 84, 084022 (2011) ADSCrossRefGoogle Scholar
  5. 5.
    F.S. Bemfica, M. Gomes (2011). arXiv:1111.5779
  6. 6.
    L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999) MathSciNetADSzbMATHCrossRefGoogle Scholar
  7. 7.
    M. Abdalla, M. Guimaraes, J.M. Hoff da Silva, J. High Energy Phys. 1009, 051 (2010) ADSCrossRefGoogle Scholar
  8. 8.
    J.M. Hoff da Silva, M. Dias, Phys. Rev. D 84, 066011 (2011) ADSCrossRefGoogle Scholar
  9. 9.
    G.W. Gibbons, R. Kallosh, A.D. Linde, J. High Energy Phys. 0101, 022 (2001) MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    F. Leblond, R.C. Myers, D.J. Winters, J. High Energy Phys. 0107, 031 (2001) MathSciNetADSCrossRefGoogle Scholar
  11. 11.
    W.D. Goldberger, M.B. Wise, Phys. Rev. Lett. 83, 4922 (1999) ADSCrossRefGoogle Scholar
  12. 12.
    M. Henneaux, A. Kleinschmidt, G.L. Gomez, Phys. Rev. D 81, 064002 (2010) MathSciNetADSCrossRefGoogle Scholar
  13. 13.
    D. Blas, O. Pujolas, S. Sibiryakov, J. High Energy Phys. 10, 029 (2009) MathSciNetADSCrossRefGoogle Scholar
  14. 14.
    R.M. Wald, General Relativity (The University of Chicago Press, Chicago, 1984) zbMATHCrossRefGoogle Scholar
  15. 15.
    W. Israel, Nuovo Cimento B 44, 1 (1966) ADSCrossRefGoogle Scholar
  16. 16.
    T. Thiemann, Modern Canonical Quantum General Relativity (Cambridge University Press, Cambridge, 2007) zbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  • F. S. Bemfica
    • 1
    • 2
    Email author
  • M. Dias
    • 3
  • M. Gomes
    • 2
  • J. M. Hoff da Silva
    • 4
  1. 1.Escola de Ciências e TecnologiaUniversidade Federal do Rio Grande do NorteNatalBrazil
  2. 2.Instituto de FísicaUniversidade de São PauloSão PauloBrazil
  3. 3.Departamento de Ciências Exatas e da TerraUniversidade Federal de São PauloDiademaBrazil
  4. 4.UNESP—Campus Guaratinguetá—DFQGuaratinguetáBrazil

Personalised recommendations