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GUP Corrected Fermion Tunnelling from 2 + 1 Dimensional Black String

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Abstract

In this paper, using the generalized Dirac equation which is modified by GUP, we study the fermion tunneling from 2 + 1 dimensional black string. Our results show that the Hawking temperature is not only depended on the event horizon of black string but also related to the quantum number of emitted fermion (energy and mass). Meanwhile, we find the GUP can slow down the Hawking temperature increase and lead to the remnants. It implies that the GUP can avoid the evaporation of black holes.

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References

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  4. Kerner, R., Mann, R.: Class. Quantum. Grav. 25, 095014 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  5. Zhang, J., Zhao, Z.: JHEP 10 (2005)

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  8. Li, H.L.: Eur. Phys. J. C 65, 547 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  10. Chen, D.Y., Jiang, Q.Q., Zu, X.: Class. Quant. Grav. 25, 205022 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  11. Susskind, L.: Nat. Phys. 2, 667 (2006)

    Article  Google Scholar 

  12. Banerjee, R., Majhi, B.R.: JHEP 0806, 095 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  13. Banerjee, R., Majhi, B.R.: Phys. Lett. B 647, 218 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  14. Vagenas, E.C.: Phys. Lett. B 533, 302 (2002)

    Article  ADS  MATH  Google Scholar 

  15. Townsend, P.K.: Phys. Rev. D 15, 2795 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  16. Amati, D., Ciafaloni, M., Veneziano, G.: Phys. Lett. B 216, 41 (1989)

    Article  ADS  Google Scholar 

  17. Amelino-Camelia, G.: In. J. Mod. Phys. D 11, 35 (2002)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Kempf, A., Mangano, G., Mann, R.B.: Phys. Rev. D 52, 1108 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  19. Chen, D.Y., Jiang, Q.Q., Wang, P., Yang, H.T.: JHEP 1311, 176 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  20. Chen, D.Y., Wu, H.W., Yang, H.T.: Adv. High. Energy. Phys. 2013 (2013). ID: 432412

  21. Chen, D.Y., Wu, H.W., Yang, H.T.: JCAP 1403, 036 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  22. Chen, D.Y.: Eur. Phys. J. C 74, 2687 (2014)

    Article  ADS  Google Scholar 

  23. Chen, D.Y., Li, Z.H.: Adv. High Energy Phys. 2014 (2014). ID: 620157

  24. Wang, P., Yang, H.T., Ying, S.X.: arXiv:1410.5065

  25. Keiju, M., Jiro, S., Sugumi, K.: arXiv:gr-qc/0701137

  26. Feng, Z.W., Zhang, L., Zu, X.T.: Mod. Phys. Lett. A 29, 1450123 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  27. Chen, D.Y., Wu, H.W., Yang, H.T., Yang, S.Z.: Int. J. Mod. Phys. A 29, 1430054 (2014)

    Article  ADS  MathSciNet  Google Scholar 

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Acknowledgments

This work is supported in part by the Major Project of Education Department in Sichuan (Grant No.15ZA0325).

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Correspondence to Jian Tang.

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Tang, J., Feng, Z., Ren, W. et al. GUP Corrected Fermion Tunnelling from 2 + 1 Dimensional Black String. Int J Theor Phys 55, 495–499 (2016). https://doi.org/10.1007/s10773-015-2683-2

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  • DOI: https://doi.org/10.1007/s10773-015-2683-2

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