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Fermion Tunneling from an Axis-Symmetric Black Hole beyond the Semiclassical Approximation

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Abstract

Based on the Hamilton-Jacobi method beyond the semiclassical approximation proposed by R. Baberjee and B.R. Majhi, Hawking radiation of Dirac particle as tunneling through the event horizon is calculated. It is shown that all quantum corrections in the fermion particle action are proportional to the usual semiclassical contribution. Under the conception of irreducible mass and the first law of thermodynamics, the modifications to Hawking temperature and Bekenstein-Hawking entropy are given for a Kerr-Newmann black hole.

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References

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. Berezin, V.A., Boyarsky, A., Neronov, A.Y.: Gravit. Cosmol. 5, 16 (1999)

    MATH  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  5. Srinivasan, K., Padmanabhan, T.: Phys. Rev. D 60, 24007 (1999)

    MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  7. Parikh, M.K.: Phys. Lett. B 546, 189 (2002)

    MATH  MathSciNet  ADS  Google Scholar 

  8. Medved, A.J.M.: Phys. Rev. D 66, 124009 (2002)

    MathSciNet  ADS  Google Scholar 

  9. Aghben, M., Nadalini, M., Vanzo, L., Zerbini, S.: J. High Energy Phys. 0509, 014 (2005)

    Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  11. Xu, Z., Chen, B.: Phys. Rev. D 75, 024041 (2007)

    MathSciNet  ADS  Google Scholar 

  12. Liu, C.-Z., Zhu, J.-Y.: Gen. Relativ. Gravit. 40, 1899 (2008)

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    MathSciNet  ADS  Google Scholar 

  16. Di Criscienzo, R., Vanzo, L.: Europhys. Lett. 82, 60001 (2008)

    Article  Google Scholar 

  17. Kerner, R., Mann, R.B.: Phys. Lett. B 665, 277 (2008)

    MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. Chowdhury, B.D.: Problems with tunneling of thin shells from black holes. arXiv:hep-th/0605197 (2006)

  20. Iso, S., Umetsu, H., Wilczek, F.: Phys. Rev. D 74, 044017 (2006)

    MathSciNet  ADS  Google Scholar 

  21. Ren, J., Zhang, J., Zhao, Z.: Chin. Phys. Lett. 23, 2019 (2006)

    Article  ADS  Google Scholar 

  22. Zhao, R., Li, H.-F., Zhang, S.-L.: Canonical entropy of charged black hole. arXiv:gr-qc/0608123 (2006)

  23. Mitra, P.: Phys. Lett. B 648, 240 (2007)

    MathSciNet  ADS  Google Scholar 

  24. Kerner, R., Mann, R.B.: Phys. Rev. D 75, 084022 (2007)

    MathSciNet  ADS  Google Scholar 

  25. Kerner, R., Mann, R.B.: Class. Quantum Gravity 25, 095014 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  26. Sekiwa, Y.: Decay of the cosmological constant by Hawking radiation as quantum tunneling. arXiv:0802.3266 [hep-th] (2008)

  27. Li, R., Ren, J.-R., Wei, S.-W.: Class. Quantum Gravity 25, 125016 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  28. Banerjee, R., Majhi, B.R.: J. High Energy Phys. 0806, 095 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  29. Banerjee, R., Majhi, B.R., Samanta, S.: Phys. Rev. D 77, 124035 (2008)

    MathSciNet  ADS  Google Scholar 

  30. Majhi, B.R.: Phys. Rev. D 79, 044005 (2009)

    ADS  Google Scholar 

  31. Zhu, T., Ren, J.-R., Li, M.-F.: J. Cosmol. Astropart. Phys. 0908, 010 (2009)

    Article  ADS  Google Scholar 

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

    MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  34. Li, X., Wen, X.Q.: J. High Energy Phys. 10, 046 (2009)

    Google Scholar 

  35. Christodoulou, D.: Phys. Rev. Lett. 25, 1596 (1970)

    Article  ADS  Google Scholar 

  36. Christodoulou, D., Ruffini, R.: Phys. Rev. D 4, 3552 (1971)

    ADS  Google Scholar 

  37. Akhmedov, E.T., Akhmedov, V., Singleton, D.: Phys. Lett. B 642, 124 (2006)

    MathSciNet  ADS  Google Scholar 

  38. Mitra, P.: Phys. Lett. B 648, 240 (2007)

    MathSciNet  ADS  Google Scholar 

  39. Damour, T., Ruffini, R.: Phys. Rev. D 14, 332 (1996)

    ADS  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  41. Fursaev, D.V.: Phys. Rev. D 51, 5352 (1995)

    MathSciNet  ADS  Google Scholar 

  42. Mann, R.B., Solodukhin, S.N.: Nucl. Phys. B 523, 293 (1998)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  43. Kaul, R.K., Majumdar, P.: Phys. Rev. Lett. 84, 5255 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  44. Ghosh, A., Mitra, P.: Phys. Lett. B 616, 114 (2005)

    MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing, 100875, China

    Jili Huang & Wenbiao Liu

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  1. Jili Huang
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  2. Wenbiao Liu
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Correspondence to Wenbiao Liu.

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Huang, J., Liu, W. Fermion Tunneling from an Axis-Symmetric Black Hole beyond the Semiclassical Approximation. Int J Theor Phys 49, 2621–2629 (2010). https://doi.org/10.1007/s10773-010-0453-8

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  • DOI: https://doi.org/10.1007/s10773-010-0453-8

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