General Relativity and Gravitation

, Volume 45, Issue 12, pp 2441–2456

Scalar filed evolution and area spectrum for Lovelock-AdS black holes

Research Article

Abstract

We study the modes of evolution of massless scalar fields in the asymptotically AdS spacetime surrounding maximally symmetric black holes of large and intermediate size in the Lovelock model. It is observed that all modes are purely damped at higher orders. Also, the rate of damping is seen to be independent of order at higher dimensions. The asymptotic form of these frequencies for the case of large black holes is found analytically. Finally, the area spectrum for such black holes is found from these asymptotic modes.

Keywords

Quasinormal modes Lovelock AdS Area spectrum Scalar field 

References

  1. 1.
    Maldacena, J.: Adv. Theory Math. Phys. 2, 231 (1998)MathSciNetADSMATHGoogle Scholar
  2. 2.
    Gregory, R., Laflamme, R.: Phys. Rev. Lett. 70, 2837 (1993)MathSciNetADSCrossRefMATHGoogle Scholar
  3. 3.
    Dotti, G., Gleiser, R.J.: Phys. Rev. D 72, 044018 (2005)MathSciNetADSCrossRefGoogle Scholar
  4. 4.
    Dotti, G., Gleiser, R.J.: Phys. Rev. D. 72, 124002 (2005)MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    Hawking, S.W., Page, D.N.: Commun. Math. Phys. 87, 577 (1983)MathSciNetADSCrossRefGoogle Scholar
  6. 6.
    Takahashi, T., Soda, J.: Prog. Theory Phys. 124, 711–729 (2010)ADSCrossRefMATHGoogle Scholar
  7. 7.
    Takahashi, T., Soda, J.: Phys. Rev. D. 79, 104025 (2009)MathSciNetADSCrossRefGoogle Scholar
  8. 8.
    Takahashi, T., Soda, J.: Phys. Rev. D. 80, 104021 (2009)MathSciNetADSCrossRefGoogle Scholar
  9. 9.
    Berti, E., Cardoso, V., Starinets, A.O.: Class. Quantum Grav. 26, 163001 (2009)MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    Nollert, H.P.: Class. Quantum Grav. 16, R159 (2009)MathSciNetCrossRefGoogle Scholar
  11. 11.
    Kokkotas, K.D., Schmidt, B.: Living Rev. Relativ. 2, 2 (1999)MathSciNetADSGoogle Scholar
  12. 12.
    Konoplya, R.A., Zhidenko, A.: Rev. Mod. Phys. 83, 793 (2011)ADSCrossRefGoogle Scholar
  13. 13.
    Konoplya, R.A.: Phys. Rev. D. 66, 044009 (2002)MathSciNetADSCrossRefGoogle Scholar
  14. 14.
    Cho, H.T. et al.: Advances in mathematical physics Volume 2012, Article ID 281705Google Scholar
  15. 15.
    Horowitz, G.T., Hubeny, V.E.: Phys. Rev. D. 62, 024027 (2000)MathSciNetADSCrossRefGoogle Scholar
  16. 16.
    Bekenstein, J.D.: Lett. Nuovo Cimento Soc. Ital. Fis. 11, 467 (1974)ADSCrossRefGoogle Scholar
  17. 17.
    Hod, S.: Phys. Rev. Lett. 81, 4293 (1998)MathSciNetADSCrossRefMATHGoogle Scholar
  18. 18.
    Dreyer, O.: Phys. Rev. Lett. 90, 081301 (2003)ADSCrossRefGoogle Scholar
  19. 19.
    Maggiore, M.: Phys. Rev. Lett. 100, 141301 (2008)MathSciNetADSCrossRefGoogle Scholar
  20. 20.
    Ryu, S., Takayanagi, T.: Phys. Rev. Lett. 96, 181602 (2006)MathSciNetADSCrossRefGoogle Scholar
  21. 21.
    Ryu, S., Takayanagi, T.: JHEP 07, 62 (2007)Google Scholar
  22. 22.
    Ryu, S., Takayanagi, T., Nishioka, T.: J. Phys. A. Math. Theory 42, 504008 (2009)MathSciNetCrossRefGoogle Scholar
  23. 23.
    Takayanagi, T.: Class. Quantum Grav. 29, 153001 (2009)MathSciNetADSCrossRefGoogle Scholar
  24. 24.
    Dey, P., Roy, S.: Phys. Rev. D. 87, 066001 (2013)ADSCrossRefGoogle Scholar
  25. 25.
    Ryu, S., Takayanagi, T.: JHEP 08, 045 (2006)MathSciNetADSCrossRefGoogle Scholar
  26. 26.
    Crisostomo, J., Troncoso, R., Zanelli, J.: Phys. Rev. D. 62, 084013 (2000)MathSciNetADSCrossRefGoogle Scholar
  27. 27.
    Musiri, S., Siopsis, G.: Phys. Lett. B. 576, 309–313 (2003)MathSciNetADSCrossRefMATHGoogle Scholar
  28. 28.
    Kunstatter, G.: Phys. Rev. Lett. 90, 161301 (2003)MathSciNetADSCrossRefGoogle Scholar
  29. 29.
    Lovelock, D.: J. Math. Phys. (N. Y.) 12, 498 (1971)MathSciNetADSCrossRefMATHGoogle Scholar
  30. 30.
    Wheeler, J.T.: Nucl. Phys. B268, 737 (1986)ADSCrossRefGoogle Scholar
  31. 31.
    Gonzalez, Pablo, et al.: JHEP 1008, 050 (2010)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of PhysicsCochin University of Science and TechnologyCochinIndia

Personalised recommendations