Skip to main content
SpringerLink
Log in

New Tortoise Coordinate and Hawking Radiation of Dirac Particles in a Non-stationary Kerr-Newman Black Hole

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The Hawking effect of Dirac particles in a non-stationary Kerr-Newman black hole is investigated using an improved Damour-Ruffini method with a new tortoise coordinate transformation. In contrast with the old tortoise coordinate, the new one satisfies the dimensional requirement. It is interesting to note that the Hawking emission spectrum remains a blackbody one with a correction term ξ existing in the Hawking temperature. Compared with the old tortoise coordinate transformation, our results appears more accurate and reliable.

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

    Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  4. Jiang, Q.-Q., Wu, S.-Q., Cai, X.: Phys. Rev. D 73, 064003 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  5. Jiang, Q.-Q., Wu, S.-Q.: Phys. Lett. B 635, 151 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  6. Wu, S.-Q., Jiang, Q.-Q.: J. High Energy Phys. 0603, 079 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  7. Jiang, Q.-Q.: Phys. Rev. D 78, 044009 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  8. Jiang, Q.-Q.: Phys. Lett. B 666, 517 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  9. Zhao, Z., Dai, X.-X.: Mod. Phys. Lett. A 7, 1771 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Zhao, Z., Dai, X.-X.: Chin. Phys. Lett. 8, 548 (1991)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  12. Wu, S.-Q., Cai, X.: Chin. Phys. Lett. 18, 485 (2001)

    Article  ADS  Google Scholar 

  13. Jiang, Q.-Q., Cai, X.: Phys. Lett. B 677, 179 (2009)

    MathSciNet  ADS  Google Scholar 

  14. Jiang, Q.-Q., Wu, S.-Q., Cai, X.: Phys. Lett. B 651, 65 (2007)

    MathSciNet  ADS  Google Scholar 

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

    MathSciNet  ADS  Google Scholar 

  16. Jiang, Q.-Q., Wu, S.-Q., Cai, X.: Phys. Lett. B 651, 58 (2007)

    MathSciNet  ADS  Google Scholar 

  17. Yang, J.: Chin. Phys. Lett. 26, 120401 (2009)

    Article  ADS  Google Scholar 

  18. Zhao, Z., Yang, J., Liu, W.-B: J. Beijing Normal Univ. (Nat. Sci.) 46, 32 (2010) (in Chinese)

    MathSciNet  Google Scholar 

  19. Xu, D.-Y.: Class. Quantum Gravity 15, 153 (1998)

    Article  ADS  MATH  Google Scholar 

  20. Xu, D.-Y.: Class. Quantum Gravity 16, 343 (1999)

    Article  ADS  MATH  Google Scholar 

  21. Hossain, A.M.: Gen. Relativ. Gravit. 36, 1171 (2004)

    Article  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. Jiang, Q.-Q.: Class. Quantum Gravity 24, 4391 (2007)

    Article  ADS  MATH  Google Scholar 

  24. Jiang, Q.-Q., Wu, S.-Q.: Phys. Lett. B 647, 200 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  25. Jiang, Q.-Q., Cai, X.: J. High Energy Phys. 05, 012 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  26. Jiang, Q.-Q., Cai, X.: J. High Energy Phys. 11, 066 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  27. Xu, D.-Y.: Chin. Phys. Lett. 15, 706 (1998)

    Article  ADS  Google Scholar 

  28. Wu, S.-Q., Cai, X.: Gen. Relativ. Gravit. 33, 1181 (2001)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. Jiang, Q.-Q., Cai, X.: J. High Energy Phys. 0911, 110 (2009)

    Article  ADS  Google Scholar 

  30. Chen, D.-Y., Jiang, Q.-Q., Zu, X.-T.: Phys. Lett. B 665, 106 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  31. Chen, D.-Y., Jiang, Q.-Q., Zu, X.-T.: Class. Quantum Gravity 25, 205022 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  32. Chandrasekhar, S.: The Mathematical Theory of Black Holes. Oxford University Press, New York (1983)

    MATH  Google Scholar 

  33. Newman, E., Penrose, R.: J. Math. Phys. 3, 566 (1962)

    Article  MathSciNet  ADS  Google Scholar 

  34. Zhao, Z.: The Thermal Nature of Black Holes and The Singularity of the Spacetime. Beijing Normal University Press, Beijing (1999)

    Google Scholar 

  35. Wu, S.-Q., Cai, X.: Gen. Relativ. Gravit. 34, 605 (2001)

    Article  MathSciNet  Google Scholar 

  36. Damour, T., Ruffini, R.: Phys. Rev. D, Part. Fields 14, 332 (1976)

    Article  ADS  Google Scholar 

  37. Sannan, S.: Gen. Relativ. Gravit. 20, 239 (1988)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Acknowledgements

This work is supported by the Foundation of China West Normal University (07B067).

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, China West Normal University, Nanchong, Sichuan, 637002, People’s Republic of China

    Xiao-Gang Lan

Authors
  1. Xiao-Gang Lan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiao-Gang Lan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lan, XG. New Tortoise Coordinate and Hawking Radiation of Dirac Particles in a Non-stationary Kerr-Newman Black Hole. Int J Theor Phys 51, 1195–1203 (2012). https://doi.org/10.1007/s10773-011-0995-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0995-4

Keywords

Search

Navigation