Advertisement

The holographic bound in the scalar-tensor and f(R) gravities

  • J. T. FirouzjaeeEmail author
Regular Article - Theoretical Physics
  • 56 Downloads

Abstract

The holographic bound has been extended to the different theory of gravities such as scalar-tensor gravity and f(R) gravity according to the Noether charge definition of the entropy for a black hole surface. We have introduced some popular examples of the flat FRW cosmology in order to investigate holographic bound in scalar-tensor and f(R) gravity. Using the holographic bound, we put an additional constraint on scalar-tensor gravity and the f(R) gravity parameters. We also discuss the transformation from Jordan frame to Einstein frame.

Keywords

Black Hole Apparent Horizon Black Hole Entropy Einstein Frame Jordan Frame 
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

I would like to thank Alex B. Nielsen for helpful discussion on drafts of this text.

References

  1. 1.
    J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973) MathSciNetADSCrossRefGoogle Scholar
  2. 2.
    J.D. Bekenstein, Phys. Rev. D 23, 287 (1981) MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    G. ’t Hooft, arXiv:gr-qc/9310026
  4. 4.
    L. Susskind, J. Math. Phys. 36, 6377 (1995). arXiv:hep-th/9409089 MathSciNetADSCrossRefzbMATHGoogle Scholar
  5. 5.
    W. Fischler, L. Susskind, arXiv:hep-th/9806039 (1998)
  6. 6.
    R. Bousso, J. High Energy Phys. 004, 9907 (1999). arXiv:hep-th/9905177 Google Scholar
  7. 7.
    Y. Gong, Phys. Rev. D 61, 043505 (2000) MathSciNetADSCrossRefGoogle Scholar
  8. 8.
    E. Verlinde, arXiv:hep-th/0008140
  9. 9.
    I. Brevik, S. Nojiri, S.D. Odintsov, D. Saez-Gomez, Eur. Phys. J. C 69, 563 (2010). arXiv:1002.1942 [hep-th] ADSCrossRefGoogle Scholar
  10. 10.
    T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451–497 (2010) MathSciNetADSCrossRefzbMATHGoogle Scholar
  11. 11.
    A. De Felice, S. Tsujikawa, Living Rev. Relativ. 13, 3 (2010) ADSGoogle Scholar
  12. 12.
    E. Elizalde, S. Nojiri, S.D. Odintsov, Phys. Rev. D 70, 043539 (2004) ADSCrossRefGoogle Scholar
  13. 13.
    Y. Fujii, K. Maeda, The Scalar-Tensor Theory of Gravitation (Cambridge University Press, Cambridge, 2003) zbMATHGoogle Scholar
  14. 14.
    M. Visser, Phys. Rev. D 48, 5697 (1993). arXiv:hep-th/9307194 MathSciNetADSCrossRefGoogle Scholar
  15. 15.
    R.M. Wald, Phys. Rev. D 48, 3427 (1993). arXiv:gr-qc/9307038 MathSciNetADSCrossRefGoogle Scholar
  16. 16.
    V. Faraoni, A.B. Nielsen, Class. Quantum Gravity 28, 175008 (2011). arXiv:1103.2089 [gr-qc] MathSciNetADSCrossRefGoogle Scholar
  17. 17.
    D.N. Vollick, Phys. Rev. D 76, 124001 (2007) MathSciNetADSCrossRefGoogle Scholar
  18. 18.
    F. Caravelli, L. Modesto, Phys. Lett. B 702, 307 (2011) ADSCrossRefGoogle Scholar
  19. 19.
    M. Cvetic, S. Nojiri, S.D. Odintsov, Nucl. Phys. B 628, 295–330 (2002) MathSciNetADSCrossRefzbMATHGoogle Scholar
  20. 20.
    T. Clunan, S.F. Ross, D.J. Smit, Class. Quantum Gravity 21, 3447–3458 (2004) ADSCrossRefzbMATHGoogle Scholar
  21. 21.
    F. Briscese, E. Elizalde, Phys. Rev. D 77, 044009 (2008) MathSciNetADSCrossRefGoogle Scholar
  22. 22.
    B. Bertotti, L. Iess, P. Tortora, Nature (London) 425, 374–376 (2003) ADSCrossRefGoogle Scholar
  23. 23.
    S.M. Carroll, V. Duvvuri, M. Trodden, M.S. Turner, Phys. Rev. D 70, 043528 (2004) ADSCrossRefGoogle Scholar
  24. 24.
    S. Capozziello, S. Carloni, A. Troisi, Recent Res. Dev. Astron. Astrophys. 1, 625 (2003) Google Scholar
  25. 25.
    R. Bousso, Rev. Mod. Phys. 74, 825 (2002). hep-th/0203101 MathSciNetADSCrossRefzbMATHGoogle Scholar
  26. 26.
    V. Faraoni, Cosmology in Scalar-Tensor Gravity (Kluwer Academic, Dordrecht, 2004) CrossRefzbMATHGoogle Scholar
  27. 27.
    R.H. Dicke, Phys. Rev. 125, 2163 (1962) MathSciNetADSCrossRefzbMATHGoogle Scholar
  28. 28.
    E.E. Flanagan, Class. Quantum Gravity 21, 3817 (2004) MathSciNetADSCrossRefzbMATHGoogle Scholar
  29. 29.
    V. Faraoni, S. Nadeau, Phys. Rev. D 75, 023501 (2007) MathSciNetADSCrossRefGoogle Scholar
  30. 30.
    M.A. Scheel, S.L. Shapiro, S.A. Teukolsky, Phys. Rev. D 51, 4236 (1995) MathSciNetADSCrossRefGoogle Scholar
  31. 31.
    G. Kang, Phys. Rev. D 54, 7483 (1996) MathSciNetADSCrossRefGoogle Scholar
  32. 32.
    A.B. Nielsen, J.T. Firouzajee, arXiv:1207.0064
  33. 33.
    I. Quiros, R. Garcia-Salcedo, J.E. Madriz Aguilar, T. Matos, Gen. Relativ. Gravit. 45, 489 (2013) MathSciNetADSCrossRefzbMATHGoogle Scholar

Copyright information

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

Authors and Affiliations

  1. 1.School of Physics and School of AstronomyInstitute for Research in Fundamental Sciences (IPM)TehranIran

Personalised recommendations