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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Parikh, M.K., Wiclzek, F.: Hawking radiation as tunneling. Phys. Rev. Lett. 85, 5042 (2000)
Parikh, M.K.: New Coordinates for de Sitter Space and de Sitter Radiation. Phys. Lett. B 546, 189 (2000)
Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: Hawking radiation as tunneling for extremal and rotating Black holes. JHEP 05, 014 (2005)
Medved, A.J.M., Vagenas, E.: On Hawking radiation as tunneling with back-reaction. Mod. Phys. Lett. A 20, 2449 (2005)
Kim, S.P.: Hawking radiation as quantum tunneling in rindler coordinate. arXiv:0710.0915[hep-th]
Kim, S.P.: Schwinger mechanism and Hawking radiation as quantum tunneling. arXiv:0709.4313 [hep-th]
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)
Zhang, J.Y., Zhao, Z.: New coordinates for Kerr–Newman black hole radiation. Phys. Lett. B 618, 14 (2005)
Zhang, J.Y., Zhao, Z.: Massive particles black hole tunneling and de Sitter tunneling. Nucl. Phys. B 725, 173 (2005)
Yang, S.Z.: Kerr–Newman–Kasuya black hole tunneling radiation. Chin. Phys. Lett. 22, 2492 (2005)
Han, Y.W.: Massive particles tunneling radiation from the black hole with a mass-quadruple moment. Chin. Phys. 16, 923 (2007)
Liu, W.B.: New coordinates for BTZ black hole and Hawking radiation via tunneling. Phys. Lett. B 99, 379 (2006)
Yang, S.Z., Jiang, Q.Q., Li, H.L.: Quantum tunnelling radiation of Einstein–Maxwell-dolation-Axion black hole. Chin. Phys. 14, 2411 (2005)
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)
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)
Page, D.: Particle emission rates from a black hole: massless particles from an uncharged, non-rotating hole. Phys. Rev. D 13, 198 (1976)
Kerner, R., Mann, R.B.: Fermions tunneling from black holes. arXiv:0710.0612 [hep-th]
Srinivasan, K., Padmanabhan, T.: Particle production and complex path analysis. Phys. Rev. D 60, 24007 (1999)
Author information
Authors and Affiliations
Corresponding author
Rights 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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-008-0618-4