Journal of High Energy Physics

, 2010:51 | Cite as

Positive tension 3-branes in an AdS 5 bulk

  • M. C. B. Abdalla
  • M. E. X. Guimarães
  • J. M. Hoff da Silva


In this work, we review and extend the so-called consistency conditions for the existence of a braneworld scenario in arbitrary dimensions in the Brans-Dicke (BD) gravitational theory. After that, we consider the particular case of a five-dimensional scenario which seems to have phenomenological interesting implications. We show that, in the BD framework, it is possible to achieve necessary conditions pointing to the possibility of accommodating branes with positive tensions in an AdS bulk by the presence of the additional BD scalar field, avoiding in this way the necessity of including unstable objects in the compactification scheme. Furthermore, in the context of time variable brane tension, it is shown that the brane tension may change its sign, following the bulk cosmological constant sign.


Large Extra Dimensions Classical Theories of Gravity 


  1. [1]
    M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory, Cambridge University Press, Cambridge U.K. (1987).MATHGoogle Scholar
  2. [2]
    L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [SPIRES].MathSciNetADSMATHCrossRefGoogle Scholar
  3. [3]
    P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209] [SPIRES].ADSGoogle Scholar
  4. [4]
    G.W. Gibbons, R. Kallosh and A.D. Linde, Brane world sum rules, JHEP 01 (2001) 022 [hep-th/0011225] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  5. [5]
    F. Leblond, R.C. Myers and D.J. Winters, Consistency conditions for brane worlds in arbitrary dimensions, JHEP 07 (2001) 031 [hep-th/0106140] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  6. [6]
    T. Damour and K. Nordtvedt, Tensor-scalar cosmological models and their relaxation toward general relativity, Phys. Rev. D 48 (1993) 3436 [SPIRES].MathSciNetADSGoogle Scholar
  7. [7]
    T. Damour and A.M. Polyakov, The String dilaton and a least coupling principle, Nucl. Phys. B 423 (1994) 532 [hep-th/9401069] [SPIRES].MathSciNetADSCrossRefGoogle Scholar
  8. [8]
    A. Das, S. Kar and S. SenGupta, Stable two–brane models with a bulk scalar, arXiv:0804.1757 [SPIRES].
  9. [9]
    L.A. Gergely, Friedmann branes with variable tension, Phys. Rev. D 78 (2008) 084006 [arXiv:0806.3857] [SPIRES].MathSciNetADSGoogle Scholar
  10. [10]
    L.A. Gergely, Generalized Friedmann branes, Phys. Rev. D 68 (2003) 124011 [gr-qc/0308072] [SPIRES].MathSciNetADSGoogle Scholar
  11. [11]
    M.C.B. Abdalla, J.M. Hoff da Silva and R. da Rocha, Notes on the Two-brane Model with Variable Tension, Phys. Rev. D 80 (2009) 046003 [arXiv:0907.1321] [SPIRES].ADSGoogle Scholar
  12. [12]
    U. Ellwanger, Constraints on a brane-world from the vanishing of the cosmological constant, Phys. Lett. B 473 (2000) 233 [hep-th/9909103] [SPIRES].MathSciNetADSGoogle Scholar
  13. [13]
    S. Förste, Z. Lalak, S. Lavignac and H.P. Nilles, The Cosmological Constant Problem from a Brane-World Perspective, JHEP 09 (2000) 034 [hep-th/0006139] [SPIRES].CrossRefGoogle Scholar
  14. [14]
    M.C.B. Abdalla, M.E.X. Guimarães and J.M. Hoff da Silva, On the Consistency Conditions to Braneworlds in Scalar-Tensor Gravity for Arbitrary Dimensions, PoS(ISFTG)041.
  15. [15]
    M.C.B. Abdalla, M.E.X. Guimarães and J.M. Hoff da Silva, Towards a hybrid compactification with a scalar-tensor global cosmic string, JCAP 09 (2008) 021 [SPIRES]. ADSGoogle Scholar
  16. [16]
    D. Marolf and M. Trodden, Black holes and instabilities of negative tension branes, Phys. Rev. D 64 (2001) 065019 [hep-th/0102135] [SPIRES].MathSciNetADSGoogle Scholar
  17. [17]
    R.M. Wald, General Relativity, University of Chicago Press, Chicago U.S.A. (1984).MATHGoogle Scholar
  18. [18]
    T. Damour, G.W. Gibbons and J.H. Taylor, Limits on the Variability of G Using Binary-Pulsar Data, Phys. Rev. Lett. 61 (1988) 1151 [SPIRES].ADSCrossRefGoogle Scholar
  19. [19]
    B. Bertotti, L. Iess and P. Tortora, A test of general relativity using radio links with the Cassini spacecraft, Nature 425 (2003) 374 [SPIRES].ADSCrossRefGoogle Scholar
  20. [20]
    C.M. Will, The confrontation between general relativity and experiment, Living Rev. Rel. 9 (2005) 3 [gr-qc/0510072] [SPIRES].Google Scholar
  21. [21]
    P.A.M. Dirac, Lectures on Quantum Mechanics, Dover Publications, New York U.S.A. (2001).Google Scholar

Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  • M. C. B. Abdalla
    • 1
  • M. E. X. Guimarães
    • 2
  • J. M. Hoff da Silva
    • 3
  1. 1.Instituto de Física Teórica, Universidade Estadual PaulistaSão Paulo, SPBrazil
  2. 2.Instituto de FísicaUniversidade Federal FluminenseNiterói, RJBrazil
  3. 3.UNESP-Campus de Guaratinguetá-DFQGuaratinguetá-SPBrazil

Personalised recommendations