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International Journal of Theoretical Physics

, Volume 47, Issue 7, pp 1979–1986 | Cite as

Massive Radiation via Tunneling in a BTZ Black Hole

  • Wenbiao Liu
Article

Abstract

Hawking radiation can usefully be viewed as a semi-classical tunneling process that originates at the black hole horizon. Massive radiation from a BTZ black hole is investigated. The conservation of energy implies the effect of self-gravitation. Viewed as a tunneling process, the emission spectrum derivates from the pure thermal spectrum, but it is consistent with an underlying unitary theory. The result is the same as that of massless particles.

Keywords

2+1-dimensional BTZ black hole Quantum tunneling Hawking radiation Bekenstein-Hawking entropy Unitary theory Painleve coordinates 

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References

  1. 1.
    Banados, M., Teitelboim, C., Zanelli, J.: Phys. Rev. Lett. 69, 1849 (1992), hep-th/9204099 MATHCrossRefADSMathSciNetGoogle Scholar
  2. 2.
    Banados, M., Henneaux, M., Teitelboim, C., Zanelli, J.: Phys. Rev. D 48, 1506 (1993), gr-qc/9302012 CrossRefADSMathSciNetGoogle Scholar
  3. 3.
    Carlip, S.: Class. Quantum Gravity 12, 2853 (1995) MATHCrossRefADSMathSciNetGoogle Scholar
  4. 4.
    Cataldo, M., Salgado, P.: Phys. Lett. B 448, 20 (1999) MATHCrossRefADSMathSciNetGoogle Scholar
  5. 5.
    Martinez, C., Teitelboim, C., Zanelli, J.: Phys. Rev. D 61, 104013 (2000), hep-th/9912259 CrossRefADSMathSciNetGoogle Scholar
  6. 6.
    Brown, J.D.: Lower Dimensional Gravity. World Scientific, Singapore (1988) Google Scholar
  7. 7.
    Grumiller, D., Kummer, W., Vassilevich, D.V.: Phys. Rep. 369, 327 (2002), hep-th/0204253 MATHCrossRefADSMathSciNetGoogle Scholar
  8. 8.
    Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975) CrossRefADSMathSciNetGoogle Scholar
  9. 9.
    Hawking, S.W.: Phys. Rev. D 14, 2460 (1976) CrossRefADSMathSciNetGoogle Scholar
  10. 10.
    Callan, C.G. Jr, Maldacena, J.M.: Nucl. Phys. B 472, 591 (1996), hep-th/9602043 MATHCrossRefADSMathSciNetGoogle Scholar
  11. 11.
    Parikh, M.K., Wilczek, F.: Phys. Rev. Lett. 85, 5042 (2000), hep-th/9907001 CrossRefADSMathSciNetGoogle Scholar
  12. 12.
    Parikh, M.K.: Energy conservation and Hawking radiation. hep-th/0402166 (2004) Google Scholar
  13. 13.
    Parikh, M.K.: Int. J. Mod. Phys. D 13, 2351 (2004), hep-th/0405160 CrossRefADSMathSciNetGoogle Scholar
  14. 14.
    Hemming, S., Keski-Vakkuri, E.: Phys. Rev. D 64, 044006 (2001) CrossRefADSMathSciNetGoogle Scholar
  15. 15.
    Medved, A.J.M.: Phys. Rev. D 66, 124009 (2002) CrossRefADSMathSciNetGoogle Scholar
  16. 16.
    Zhang, J., Zhao, Z.: Mod. Phys. Lett. A 20, 1673 (2005) MATHCrossRefADSMathSciNetGoogle Scholar
  17. 17.
    Zhang, J., Zhao, Z.: Phys. Lett. B 618, 14 (2005) CrossRefADSMathSciNetGoogle Scholar
  18. 18.
    Zhang, J., Zhao, Z.: Nucl. Phys. B 725, 173 (2005) MATHCrossRefADSMathSciNetGoogle Scholar
  19. 19.
    Zhang, J., Zhao, Z.: J. High Energy Phys. 10, 055 (2005) CrossRefADSMathSciNetGoogle Scholar
  20. 20.
    Vagenas, E.C.: Phys. Lett. B 533, 302 (2002), hep-th/0109108 MATHCrossRefADSGoogle Scholar
  21. 21.
    Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: J. High Energy Phys. 0505, 014 (2005), hep-th/0503081 CrossRefADSMathSciNetGoogle Scholar
  22. 22.
    Liu, W.B.: Phys. Lett. B 643, 541 (2006) ADSGoogle Scholar
  23. 23.
    Clement, G.: Class. Quantum Gravity 10, L49 (1993) MATHCrossRefADSMathSciNetGoogle Scholar
  24. 24.
    Clement, G.: Phys. Lett. B 367, 70 (1996), gr-qc/9510025 CrossRefADSMathSciNetGoogle Scholar
  25. 25.
    Carlip, S., Teitelboim, C.: Phys. Rev. D 51, 622 (1995) CrossRefADSMathSciNetGoogle Scholar
  26. 26.
    Strominger, A.: J. High Energy Phys. 9802, 009 (1998) CrossRefADSMathSciNetGoogle Scholar
  27. 27.
    Kraus, P., Wilczek, F.: Nucl. Phys. B 433, 403 (1995), gr-qc/9408003 CrossRefADSGoogle Scholar
  28. 28.
    Kraus, P., Wilczek, F.: Nucl. Phys. B 437, 231 (1995), hep-th/9411219 CrossRefADSGoogle Scholar
  29. 29.
    Vagenas, E.C.: Phys. Lett. B 503, 399 (2001), hep-th/0012134 MATHCrossRefADSMathSciNetGoogle Scholar
  30. 30.
    Painleve, P.: C. R. Acad. Sci. (Paris) 173, 677 (1921) Google Scholar
  31. 31.
    Gibbons, G.W., Hawking, S.W.: Phys. Rev. D 15, 2752 (1977) CrossRefADSMathSciNetGoogle Scholar
  32. 32.
    Medved, A.J.M.: Class. Quantum Gravity 19, 589 (2002), hep-th/0110289 MATHCrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of Physics, Institute of Theoretical PhysicsBeijing Normal UniversityBeijingChina

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