Skip to main content
SpringerLink
Log in

Tunneling of Charged Massive Particles from Taub-NUT-Reissner-Nordström-AdS Black Holes

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

Abstract

We apply the null-geodesic method to investigate tunneling radiation of charged and magnetized massive particles from Taub-NUT-Reissner-Nordström black holes endowed with electric as well as magnetic charges in Anti-de Sitter (AdS) spaces. The geodesics of charged massive particle tunneling from the black hole is not lightlike, but can be determined by the phase velocity. We find that the tunneling rate is related to the difference of Bekenstein-Hawking entropies of the black hole before and after the emission of particles. The entropy differs from just a quarter area at the horizon of black holes with NUT parameter. The emission spectrum is not precisely thermal anymore and the deviation from the precisely thermal spectrum can bring some information out, which can be treated as an explanation to the information loss paradox. The result can also be treated as a quantum-corrected radiation temperature, which is dependent on the black hole background and the radiation particle’s energy and charges.

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 (London) 248, 30 (1974)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  4. Parikh, M.K., Wilczek, F.: Phys. Rev. Lett. 85, 5042 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  5. Parikh, M.K.: Int. J. Mod. Phys. D 13, 2351 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  6. Parikh, M.K.: arXiv:hep-th/0402166 (2004)

  7. Kraus, P., Wilczek, F.: Nucl. Phys. B 433, 403 (1995)

    Article  ADS  Google Scholar 

  8. Kraus, P., Wilczek, F.: Nucl. Phys. B 437, 231 (1995)

    Article  ADS  Google Scholar 

  9. Kraus, P., Wilczek, F.: arXiv:gr-qc/9406042 (1994)

  10. Keski-Vakkuri, E., Kraus, P.: Nucl. Phys. B 491, 249 (1997)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  11. Zhang, J.Y., Zhao, Z.: Phys. Lett. B 638, 110 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. Zhang, J.Y., Zhao, Z.: J. High Energy Phys. 10, 055 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. Zhang, J.Y., Zhao, Z.: Mod. Phys. Lett. A 20, 1673 (2005)

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  16. Yang, S.J.: Chin. Phys. Lett. 22, 2492 (2005)

    Article  ADS  Google Scholar 

  17. Yang, S.J., Jiang, Q.Q., Li, H.L.: Chin. Phys. Lett. 14, 2411 (2005)

    Article  ADS  Google Scholar 

  18. Yang, S.Z., Chen, D.Y.: Chin. Phys. Lett. 24, 39 (2007)

    Article  ADS  Google Scholar 

  19. Yang, S., Chen, D.Y.: Chin. Phys. Lett. 17, 1674 (2008)

    Google Scholar 

  20. Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: J. High Energy Phys. 05, 014 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  21. Kerner, R., Mann, R.B.: Phys. Rev. D 73, 104010 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  22. Medved, A.J.M., Vagenas, E.C.: Mod. Phys. Lett. A 20, 2449 (2005)

    Article  ADS  MATH  Google Scholar 

  23. Srinivasan, K., Padmanabhan, T.: Phys. Rev. D 60, 024007 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  24. Shankaranarayanan, S., Srinivasan, K., Padmanabhan, T.: Mod. Phys. Lett. A 16, 571 (2001)

    Article  MathSciNet  Google Scholar 

  25. Shankaranarayanan, S., Padmanabhan, T., Srinivasan, K.: Class. Quantum Gravity 19, 2671 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  26. Damour, T., Ruffini, R.: Phys. Rev. D 14, 332 (1976)

    Article  ADS  Google Scholar 

  27. Liu, W.B.: Acta Phys. Sin. 56, 6164 (2007)

    Google Scholar 

  28. Qi, D.J.: Int. J. Theor. Phys. 52, 1455 (2013)

    Article  MATH  Google Scholar 

  29. Hawking, S.W., Hunter, C.J., Taylor, M.: Phys. Rev. D, Part. Fields 59, 064005 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  30. Caldarelli, M.M., Cognola, G., Klemm, D.: Class. Quantum Gravity 17, 399 (2000)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  31. Hawking, S.W., Hunter, C.J., Page, D.N.: Phys. Rev. D 59, 044033 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  32. Chamblin, A., Emparan, R., Johnson, C.V., Myers, R.C.: Phys. Rev. D 59, 064010 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  33. Mann, R.B.: Phys. Rev. D 60, 104047 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  34. Misner, C.W.: Taub-NUT space as a counter example to almost anything. In: Ehlers, J. (ed.) Relativity Theory and Astrophysics 1. Lectures in Applied Mathematics, vol. 8, p. 160. Am. Math. Soc., Providence (1967)

    Google Scholar 

  35. Emparan, R., Johnson, C.V., Myers, R.: Phys. Rev. D 60, 104001 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  36. Mann, R.B.: Phys. Rev. D 61, 084013 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  37. Clarkson, R., Fatibene, L., Mann, R.B.: Nucl. Phys. B 652, 348 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  38. Hawking, S.W., Hunter, C.J.: Phys. Rev. D 59, 044025 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  39. Astefanesei, D., Mann, R.B., Radu, E.: J. High Energy Phys. 01, 049 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  40. Aliev, A.N.: Phys. Rev. D 77, 044038 (2008)

    Article  ADS  Google Scholar 

  41. ’t Hooft, G.: Nucl. Phys. B 79, 276 (1974)

    Article  ADS  MathSciNet  Google Scholar 

  42. Schwinger, J.S.: Phys. Rev. 144, 1087 (1966)

    Article  ADS  MathSciNet  Google Scholar 

  43. Mignemi, S.: Phys. Rev. D, Part. Fields 51, 934 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  44. Aliev, A.N.: Phys. Rev. D 75, 084041 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  45. Painlevé, P., Hebd, C.R.: Seances Acad. Sci. 173, 677 (1921)

    MATH  Google Scholar 

  46. Rahman, M.A., Hossain, M.I.: Astrophys. Space Sci. 345, 325 (2013)

    Article  ADS  MATH  Google Scholar 

  47. Chen, D.Y., Zu, X.T., Yang, S.Z.: Acta Phys. Pol. B 39, 1329 (2008)

    ADS  MathSciNet  Google Scholar 

  48. Zhao, G.M., Li, P.Z.: Sci. China, Phys. Mech. Astron. 55, 568 (2012)

    Article  ADS  Google Scholar 

  49. Zhao, R., Zhang, L.C., Li, H.F.: Gen. Relativ. Gravit. 42, 975 (2010)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  50. Yang, S.Z., Chen, D.Y.: Int. J. Theor. Phys. 46, 1747 (2007)

    Article  MATH  Google Scholar 

  51. Ding, C.: arXiv:1302.0353 [gr-qc] (2013)

  52. Zhou, S., Liu, W.B.: Int. J. Theor. Phys. 47, 617 (2008)

    Article  MATH  Google Scholar 

  53. York, J.W.: Phys. Rev. D 31, 775 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  54. Lousto, C.O., Sanchez, N.: Phys. Lett. B 212, 411 (1988)

    Article  ADS  Google Scholar 

  55. Banerjee, R., Majhi, B.R.: Phys. Lett. B 662, 62 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgements

One of the authors (MHA) wishes to acknowledge Associateship of ICTP, Trieste, Italy.

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Rajshahi, Rajshahi, 6205, Bangladesh

    M. Hossain Ali

  2. Department of Mathematics, Shahjalal University of Science & Technology, Sylhet, 3100, Bangladesh

    Kausari Sultana

Authors
  1. M. Hossain Ali
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kausari Sultana
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Hossain Ali.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ali, M.H., Sultana, K. Tunneling of Charged Massive Particles from Taub-NUT-Reissner-Nordström-AdS Black Holes. Int J Theor Phys 53, 1441–1453 (2014). https://doi.org/10.1007/s10773-013-1942-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-013-1942-3

Keywords

Search

Navigation