Skip to main content
SpringerLink
Log in

Hawking radiation temperatures in non-stationary Kerr black holes with different tortoise coordinate transformations

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

Abstract

We apply the Damour–Ruffini–Sannan method to study the Hawking radiations of scalar and Dirac particles in non-stationary Kerr black holes under different tortoise coordinate transformations. We found that all the relevant Hawking radiation spectra show still the blackbody ones, while the Hawking temperatures are strongly related to the used tortoise coordinate transformations. The properties of these dependences are discussed analytically and numerically. Our results imply that proper selections of tortoise coordinate transformations should be important in the studies of Hawking radiations and the correct selection would be given by the experimental observations in the future.

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. S.W. Hawking, Nature 30, 248 (1974)

    Google Scholar 

  2. S.W. Hawking, Commun. Math. Phys. 43, 199 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  3. G.W. Gibbons, S.W. Hawking, Phys. Rev. D 15, 2752 (1977)

    Article  MathSciNet  ADS  Google Scholar 

  4. D. Hofmann, W. Kummer, Eur. Phys. J. C 48, 291 (2005)

    Article  ADS  Google Scholar 

  5. M.R. Setare, Eur. Phys. J. C 49, 865 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. P. Castorina, D. Kharzeev, H. Satz, Eur. Phys. J. C 52, 187 (2007)

    Article  ADS  Google Scholar 

  7. Q.Q. Jiang, S.Q. Wu, Phys. Lett. B 647, 200 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  8. T. Damour, R. Ruffini, Phys. Rew. D 14, 332 (1976)

    Article  ADS  Google Scholar 

  9. S. Sannan, Gen. Relativ. Gravit. 20, 139 (1988)

    Article  MathSciNet  Google Scholar 

  10. Q.Q. Jiang, S.Q. Wu, X. Cai, Phys. Rev. D 75, 064029 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  11. Z. Zhao, X. Dai, Mod. Phys. Lett. A 7, 1771 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Z. Zhao, Z.Q. Luo, X.X. Dai, Nuovo Cimento B 109, 483 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  13. J.Y. Zhang, Z, Zhao. Phys. Lett. B 618, 14 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  14. Q.Q. Jiang, S.Z. Yang, H.L. Li, Chin. Phys. 14, 1736 (2005)

    Article  ADS  Google Scholar 

  15. J. Yang, Z. Zhao, W.B. Liu, Astrophys. Space Sci. 331, 627 (2011)

    Article  ADS  MATH  Google Scholar 

  16. H. Ding, X.M. Liu, W.B. Liu, Can. J. Phys. 89, 667 (2011)

    Article  ADS  Google Scholar 

  17. M. Carmeli, M. Kaye, Ann. Phys. 103, 197 (1977)

    MathSciNet  Google Scholar 

  18. C. Gonzalez, L. Herrera, J. Jimenez, J. Math. Phys. 20, 837 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  19. S.Q. Wu, X. Cai, Gen. Relativ. Gravit. 34, 557 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  20. S.Q. Wu, X. Cai, Chin. Phys. Lett. 19, 141 (2002)

    Article  ADS  Google Scholar 

  21. S.Q. Wu, X. Cai, Gen. Relativ. Gravit. 33, 1181 (2001)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. M. Sasaki, T. Nakamura, Prog. Theor. Phys. 67, 1788 (1982)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  24. J.Y. Zhang, Z. Zhao, Nucl. Phys. B 725, 173 (2005)

    Article  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Quantum Optoelectronics Laboratory, Southwest Jiaotong University, Chengdu, 610031, China

    X. G. Lan & L. F. Wei

  2. Institute of Theoretical Physics, China West Normal University, Nanchong, 637009, China

    X. G. Lan & Q. Q. Jiang

  3. State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-Sen University, Guangzhou, 510275, China

    L. F. Wei

Authors
  1. X. G. Lan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Q. Q. Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. L. F. Wei
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. F. Wei.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lan, X.G., Jiang, Q.Q. & Wei, L.F. Hawking radiation temperatures in non-stationary Kerr black holes with different tortoise coordinate transformations. Eur. Phys. J. C 72, 1983 (2012). https://doi.org/10.1140/epjc/s10052-012-1983-4

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-012-1983-4

Keywords

Search

Navigation