Skip to main content
SpringerLink
Log in

Fermions tunneling from Reissner–Nordström black hole

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

Hawking tunneling radiation of spin − 1/2 particles from the event horizon of the Reissner–Nordström black hole is studied. We introduce the Dirac equation of the charged particles. We further consider the gravitational interaction and back reaction of the emitted spin particles in the dynamical background space–time. The result shows that when the energy conservation and charge conservation are taken into account, the actual radiation spectrum of fermions also derivates from the thermal one and the tunneling rate is related to the change of Bekenstein–Hawking entropy.

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. Parikh, M.K., Wiclzek, F.: Hawking radiation as tunneling. Phys. Rev. Lett. 85, 5042 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  2. Parikh, M.K.: New Coordinates for de Sitter Space and de Sitter Radiation. Phys. Lett. B 546, 189 (2000)

    ADS  MathSciNet  Google Scholar 

  3. Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: Hawking radiation as tunneling for extremal and rotating Black holes. JHEP 05, 014 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  4. Medved, A.J.M., Vagenas, E.: On Hawking radiation as tunneling with back-reaction. Mod. Phys. Lett. A 20, 2449 (2005)

    Article  MATH  ADS  Google Scholar 

  5. Kim, S.P.: Hawking radiation as quantum tunneling in rindler coordinate. arXiv:0710.0915[hep-th]

  6. Kim, S.P.: Schwinger mechanism and Hawking radiation as quantum tunneling. arXiv:0709.4313 [hep-th]

  7. Liu, W.B.: Damour–Ruffini method and the non-thermal Hawking radiation of Reissner–Nordström black hole. Acta. Phys. Sin. 56, 6164 (2007) (in Chinese)

    Google Scholar 

  8. Zhang, J.Y., Zhao, Z.: New coordinates for Kerr–Newman black hole radiation. Phys. Lett. B 618, 14 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  9. Zhang, J.Y., Zhao, Z.: Massive particles black hole tunneling and de Sitter tunneling. Nucl. Phys. B 725, 173 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  10. Yang, S.Z.: Kerr–Newman–Kasuya black hole tunneling radiation. Chin. Phys. Lett. 22, 2492 (2005)

    Article  ADS  Google Scholar 

  11. Han, Y.W.: Massive particles tunneling radiation from the black hole with a mass-quadruple moment. Chin. Phys. 16, 923 (2007)

    Article  ADS  Google Scholar 

  12. Liu, W.B.: New coordinates for BTZ black hole and Hawking radiation via tunneling. Phys. Lett. B 99, 379 (2006)

    Google Scholar 

  13. Yang, S.Z., Jiang, Q.Q., Li, H.L.: Quantum tunnelling radiation of Einstein–Maxwell-dolation-Axion black hole. Chin. Phys. 14, 2411 (2005)

    Article  ADS  Google Scholar 

  14. Chen, D.Y., Yang, S.Z.: Charged particle tunnels from the stationary and non-stationary Kerr–Newman black holes. Gen. Relat. Grav. 39, 1503 (2007)

    Article  MATH  ADS  Google Scholar 

  15. Li, H.L., Qi, D.J., Yang, S.Z.: Massive particle’s tunneling radiation from higher dimensional Schwarzschild de sitter and Anti-de sitter black holes. Gen. Relat. Grav. 39, 179 (2007)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. Page, D.: Particle emission rates from a black hole: massless particles from an uncharged, non-rotating hole. Phys. Rev. D 13, 198 (1976)

    Article  ADS  Google Scholar 

  17. Kerner, R., Mann, R.B.: Fermions tunneling from black holes. arXiv:0710.0612 [hep-th]

  18. Srinivasan, K., Padmanabhan, T.: Particle production and complex path analysis. Phys. Rev. D 60, 24007 (1999)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Xiao-Xiong Zeng & Shu-Zheng Yang

Authors
  1. Xiao-Xiong Zeng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shu-Zheng Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiao-Xiong Zeng.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zeng, XX., Yang, SZ. Fermions tunneling from Reissner–Nordström black hole. Gen Relativ Gravit 40, 2107–2114 (2008). https://doi.org/10.1007/s10714-008-0618-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-008-0618-4

Keywords

Search

Navigation