Skip to main content
SpringerLink
Log in

Gauge and gravitational anomalies and Hawking radiation of rotating BTZ black holes

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

In this paper we obtain the flux of Hawking radiation from rotating BTZ black holes from the gauge and gravitational anomalies point of view. Then we show that the gauge and gravitational anomaly in BTZ spacetime is cancelled by the total flux of a 2-dimensional blackbody at the Hawking temperature of the spacetime.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.D. Bekenstein, Lett. Nuovo Cimento 4, 737 (1972)

    Google Scholar 

  2. J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  3. J.D. Bekenstein, Phys. Rev. D 9, 3292 (1974)

    Article  ADS  Google Scholar 

  4. S.W. Hawking, Commun. Math. Phys. 25, 152 (1972)

    Article  ADS  MathSciNet  Google Scholar 

  5. J.M. Bardeen, B. Carter, S.W. Hawking, Commun. Math. Phys. 31, 161 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  6. R.M. Wald, Commun. Math. Phys. 54, 1 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  7. R.M. Wald, Phys. Rev. D 17, 1477 (1978)

    Article  ADS  MathSciNet  Google Scholar 

  8. S. Coleman, R. Jackiw, Ann. Phys. (New York) 67, 552 (1971)

    Article  ADS  MathSciNet  Google Scholar 

  9. S.M. Christensen, S.A. Fulling, Phys. Rev. D 15, 2088 (1977)

    Article  ADS  Google Scholar 

  10. M.R. Setare, A.H. Rezaeian, Mod. Phys. Lett. A 15, 2159 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  11. M.R. Setare, Class. Quantum Grav. 18, 2097 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  12. M.R. Setare, Gen. Relat. Grav. 35, 2279 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  13. T. Christodoulakis, G.A. Diamandis, B.C. Georgalas, E.C. Vagenas, Phys. Rev. D 64, 124022 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  14. S.N. Solodukhin, Phys. Rev. D 74, 024015 (2006)

    Article  ADS  Google Scholar 

  15. S.P. Robinson, F. Wilczek, Phys. Rev. Lett. 95, 011303 (2005) [gr-qc/0502074]

    Article  ADS  MathSciNet  Google Scholar 

  16. S. Iso, H. Umetsu, F. Wilczek, Phys. Rev. Lett. 96, 151302 (2006) [hep-th/0602146]

    Article  ADS  MathSciNet  Google Scholar 

  17. S. Iso, H. Umetsu, F. Wilczek, hep-th/0606018

  18. K. Murata, J. Soda, hep-th/0606069

  19. E.C. Vagenas, S. Das, hep-th/0606077

  20. S. Nojiri, S.D. Odintsov, Int. J. Mod. Phys. A 16, 1015 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  21. R.A. Bertlmann, E. Kohlprath, Ann. Phys. (New York) 288, 137 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  22. L. Alvarez-Gaume, E. Witten, Nucl. Phys. B 234, 269 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  23. M. Bañados, C. Teitelboim, J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992) [hep-th/9204099]

    Article  ADS  MathSciNet  Google Scholar 

  24. M. Bañados, M. Henneaux, C. Teitelboim, J. Zanelli, Phys. Rev. D 48, 1506 (1993) [gr-qc/9302012]

    Article  ADS  MathSciNet  Google Scholar 

  25. J. Maldacena, J. Michelson, A. Strominger, JHEP 9902, 011 (1999) [hep-th/9812073]

    Article  ADS  MathSciNet  Google Scholar 

  26. M. Spradlin, A. Strominger, JHEP 9911, 021 (1999) [hep-th/9904143]

    Article  ADS  MathSciNet  Google Scholar 

  27. S. Nojiri, S.D. Odintsov, Mod. Phys. Lett. A 13, 2695 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  28. S. Nojiri, S.D. Odintsov, Phys. Rev. D 59, 044003 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  29. A. Kumar, K. Ray, Phys. Lett. B 351, 431 (1995) [hep-th/9410068]

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Science, Payame Noor University, Bijar, Iran

    M.R. Setare

Authors
  1. M.R. Setare
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M.R. Setare.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Setare, M. Gauge and gravitational anomalies and Hawking radiation of rotating BTZ black holes. Eur. Phys. J. C 49, 865–868 (2007). https://doi.org/10.1140/epjc/s10052-006-0148-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-006-0148-8

Keywords

Search

Navigation