Advertisement

Construction of a holographic superconductor in F(R) gravity

  • D. Momeni
  • M. RazaEmail author
  • R. Myrzakulov
Regular Article

Abstract.

We construct a toy model for a holographic superconductor with nonlinear Maxwell field in the frame of modified gravity. By probing the bulk background by nonlinear Maxwell fields, we show that superconductivity happens under a specific critical temperature. The effect of the nonlinear Maxwell field and nonlinear curvature corrections has been studied by analytical matching methods. We conclude that the nonlinearity in Maxwell field and the curvature coupling make condensation harder.

Keywords

Black Hole Critical Temperature Black Hole Solution Energy Momentum Tensor Holographic Superconductor 
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.

References

  1. 1.
    J.M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998)ADSzbMATHMathSciNetGoogle Scholar
  2. 2.
    C.P. Herzog, A. Karch, P. Kovtun, C. Kozcaz, L.G. Yaffe, JHEP 07, 013 (2006)ADSCrossRefMathSciNetGoogle Scholar
  3. 3.
    H. Liu, K. Rajagopal, U.A. Wiedemann, Phys. Rev. Lett. 97, 182301 (2006)ADSCrossRefGoogle Scholar
  4. 4.
    C.P. Herzog, P. Kovtun, S. Sachdev, D.T. Son, Phys. Rev. D 75, 085020 (2007)ADSCrossRefMathSciNetGoogle Scholar
  5. 5.
    S.A. Hartnoll, C.P. Herzog, G.T. Horowitz, Phys. Rev. Lett. 101, 031601 (2008)ADSCrossRefGoogle Scholar
  6. 6.
    P. Breitenlohner, D.Z. Freedman, Ann. Phys. 144, 249 (1982)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  7. 7.
    S.S. Gubser, Class. Quantum Grav. 22, 5121 (2005)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  8. 8.
    S.S. Gubser, Phys. Rev. D 78, 065034 (2008)ADSCrossRefGoogle Scholar
  9. 9.
    S.A. Hartnoll, C.P. Herzog, G.T. Horowitz, JHEP 12, 015 (2008)ADSCrossRefMathSciNetGoogle Scholar
  10. 10.
    G.T. Horowitz, M.M. Roberts, Phys. Rev. D 78, 126008 (2008)ADSCrossRefGoogle Scholar
  11. 11.
    Q. Pan, B. Wang, E. Papantonopoulos, J. de Oliveira, A.B. Pavan, Phys. Rev. D 81, 106007 (2010)ADSCrossRefGoogle Scholar
  12. 12.
    Y. Brihaye, B. Hartmann, Phys. Rev. D 81, 126008 (2010)ADSCrossRefGoogle Scholar
  13. 13.
    M.R. Setare, D. Momeni, EPL 96, 60006 (2011) arXiv:1106.1025 ADSCrossRefGoogle Scholar
  14. 14.
    R.G. Cai, H.Q. Zhang, Phys. Rev. D 81, 066003 (2010)ADSCrossRefGoogle Scholar
  15. 15.
    D. Momeni, M.R. Setare, N. Majd, JHEP 05, 118 (2011) arXiv:1003.0376 ADSCrossRefMathSciNetGoogle Scholar
  16. 16.
    Y. Liu, Y. Peng, B. Wang, arXiv:1202.3586
  17. 17.
    L. Wang, J. Jing, Gen. Relativ. Gravit. 44, 1309 (2012)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  18. 18.
    Y.Q. Liu, Q.Y. Pan, B. Wang, Phys. Lett. B 702, 94 (2011)ADSCrossRefGoogle Scholar
  19. 19.
    J.P. Wu, Y. Cao, X.M. Kuang, W.J. Li, Phys. Lett. B 697, 153 (2011)ADSCrossRefGoogle Scholar
  20. 20.
    D. Momeni, M.R. Setare, Mod. Phys. Lett. A 26, 2889 (2011) arXiv:1106.0431 ADSCrossRefzbMATHGoogle Scholar
  21. 21.
    D.-Z. Ma, Y. Cao, J.-P. Wu, Phys. Lett. B 704, 604 (2011)ADSCrossRefGoogle Scholar
  22. 22.
    D. Momeni, N. Majd, R. Myrzakulov, EPL 97, 61001 (2012) arXiv:1204.1246 ADSCrossRefGoogle Scholar
  23. 23.
    D. Momeni, M.R. Setare, R. Myrzakulov, Int. J. Mod. Phys. A 27, 1250128 (2012) arXiv:1209.3104 ADSCrossRefMathSciNetGoogle Scholar
  24. 24.
    D. Momeni, E. Nakano, M.R. Setare, W.-Y. Wen, Int. J. Mod. Phys. A 28, 1350024 (2013) arXiv:1108.4340 [hep-th]ADSCrossRefGoogle Scholar
  25. 25.
    E. Nakano, W.-Y. Wen, Phys. Rev. D 78, 046004 (2008) arXiv:0804.3180 [hep-th]ADSCrossRefGoogle Scholar
  26. 26.
    R. Gregory, S. Kanno, J. Soda, JHEP 10, 010 (2009) arXiv:0907.3203 [hep-th]ADSCrossRefMathSciNetGoogle Scholar
  27. 27.
    D. Roychowdhury, Phys. Lett. B 718, 1089 (2013) arXiv:1211.1612 [hep-th]ADSCrossRefGoogle Scholar
  28. 28.
    Z. Zhao, Q. Pan, S. Chen, J. Jing, arXiv:1301.3728 [gr-qc]
  29. 29.
    Z. Zhao, Q. Pan, S. Chen, J. Jing, arXiv:1212.6693 [hep-th]
  30. 30.
    Z. Zhao, Q. Pan, J. Jing, Phys. Lett. B 719, 440 (2013) arXiv:1212.3062 [hep-th]ADSCrossRefMathSciNetGoogle Scholar
  31. 31.
    S. Gangopadhyay, arXiv:1302.1288 [hep-th]
  32. 32.
    D. Roychowdhury, Phys. Rev. D 86, 106009 (2012) arXiv:1211.0904 [hep-th]ADSCrossRefGoogle Scholar
  33. 33.
    Q. Pan, J. Jing, B. Wang, S. Chen, JHEP 06, 087 (2012) arXiv:1205.3543 [hep-th]ADSCrossRefGoogle Scholar
  34. 34.
    D. Momeni, R. Myrzakulov, L. Sebastiani, M.R. Setare, arXiv:1210.7965
  35. 35.
    Z. Xue, S.-L. Cui, arXiv:1306.2082 [gr-qc]
  36. 36.
    A.A. Starobinsky, Phys. Lett. B 91, 99 (1980)ADSCrossRefGoogle Scholar
  37. 37.
    S.M. Carroll, V.Duvvuri, M.Trodden, M. Turner, astro-ph/0306438Google Scholar
  38. 38.
    H.A. Buchdahl, Mon. Not. R. Astron. Soc. 150, 1 (1970)ADSGoogle Scholar
  39. 39.
    S. Capozziello, V.F. Cardone, S. Carloni, A. Troisi, Int. J. Mod. Phys. D 12, 1969 (2003)ADSCrossRefGoogle Scholar
  40. 40.
    S. Nojiri, S.D. Odintsov, Phys. Rep. 505, 59 (2011)ADSCrossRefMathSciNetGoogle Scholar
  41. 41.
    A. de la Cruz-Dombriz, A. Dobado, A.L. Maroto, Phys. Rev. D 80, 124011 (2009) 83ADSCrossRefGoogle Scholar
  42. 42.
    S.H. Mazharimousavi, M. Halilsoy, T. Tahamtan, Eur. Phys. J. C 72, 1851 (2012)ADSCrossRefGoogle Scholar
  43. 43.
    G. t Hooft, Nucl. Phys. Proc. Suppl. 121, 333 (2003)ADSCrossRefzbMATHGoogle Scholar
  44. 44.
    X.-H. Ge, S.F. Tu, B. Wang, JHEP 09, 088 (2012) arXiv:1209.4272 [hep-th]ADSCrossRefGoogle Scholar
  45. 45.
    S. Gangopadhyay, D. Roychowdhury, JHEP 08, 104 (2012) arXiv:1207.5605 [hep-th]ADSCrossRefGoogle Scholar
  46. 46.
    X.-H. Ge, Prog. Theor. Phys. 128, 1211 (2012) arXiv:1105.4333 [hep-th]ADSCrossRefGoogle Scholar
  47. 47.
    R.-G. Cai, H.-F. Li, H.-Q. Zhang, Phys. Rev. D 83, 126007 (2011) arXiv:1103.5568 [hep-th]ADSCrossRefGoogle Scholar
  48. 48.
    P. Basu, JHEP 03, 142 (2011) arXiv:1101.0215 [hep-th]ADSCrossRefGoogle Scholar
  49. 49.
    E.J. Brynjolfsson, U.H. Danielsson, L. Thorlacius, T. Zingg, J. Phys. A 43, 065401 (2010) arXiv:0908.2611 ADSCrossRefMathSciNetGoogle Scholar
  50. 50.
    X.-M. Kuang, W.-J. Li, Y. Ling, JHEP 12, 069 (2010)ADSCrossRefMathSciNetGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Eurasian International Center for Theoretical PhysicsEurasian National UniversityAstanaKazakhstan
  2. 2.Department of MathematicsCOMSATS Institute of Information TechnologySahiwalPakistan
  3. 3.Centre for Optical and Electromagnetic Research, Department of Electrical EngineeringZhejiang UniversityHangzhouChina

Personalised recommendations