Abstract
We construct a gedanken experiment, in which a weak wave packet of the complex massive scalar field interacts with a four-parameter (mass, angular momentum, electric and magnetic charges) Kerr–Newman black hole. We show that this interaction cannot convert an extreme the black hole into a naked sigularity for any black hole parameters and any generic wave packet configuration. The analysis therefore provides support for the weak cosmic censorship conjecture.
Similar content being viewed by others
References
Penrose, R.: Gravitational collapse: the role of general relativity, Riv. Nuovo Cimento 1, special number, pp. 252–276 (1969)
Penrose R.: Singularities and time-asymmetry. In: Wald, R.M. (ed.) General Relativity: an Einstein Centenary Survey, pp. 581–638. Cambridge University Press, Cambridge (1979)
Wald, R.M.: Gravitational collapse and cosmic censorship. arXiv:gr-qc/9710068
Penrose R.: The question of cosmic censorship. In: Hawking, S.W., Israel, W. (eds) Black Holes and Relativistic Stars, pp. 103–122. The University of Chicago Press, Chicago (1998)
Joshi P.S.: Cosmic censorship: a current perspective. Modern Phys. Lett. A 17, 1067–1079 (2002)
Mazur P.O.: Proof of uniqueness of the Kerr–Newman black hole solution. J. Phys. A 15, 3173–3180 (1982)
Bunting, G.: Ph.D. Thesis (unpublished), Univ. New England (1983)
Mazur, P.O.: Black hole uniqueness theorems in MacCallum, M. A. H. (ed.) Proceedings of the 11th International Conference on General Relativity and Gravitation, pp.130–157. Cambridge University Press, Cambridge (1987) Also arXiv:hep-th/0101012
Wald R.M.: Gedanken experiments to destroy a black hole. Ann. Phys. 82, 548–556 (1974)
Semiz İ.: Dyon black holes do not violate cosmic censorship. Class. Quantum Grav. 7, 353–359 (1990)
Hiscock W.A.: Magnetic charge, black holes and cosmic censorship. Ann. Phys. 131, 245–268 (1981)
Bekenstein J.D., Rosenzweig C.: Stability of the black hole horizon and the Landau ghost. Phys. Rev. D 50, 7239–7243 (1994)
Hod S.: Black-hole polarization and cosmic censorship. Phys. Rev. D 60, 104031 (1999)
Ford L.H., Roman T.A.: ‘Cosmic flashing’ in four dimensions. Phys. Rev. D 46, 1328–1339 (1992)
Jensen B.: Stability of black hole event horizons. Phys. Rev. D 51, 5511–5516 (1995)
Hubeny V.E.: Overcharging a black hole and cosmic censorship. Phys. Rev. D 59, 064013 (1999)
Hod S.: Cosmic censorship, area theorem, and self-energy of particles. Phys. Rev. D 66, 024016 (2002)
Jacobson T., Sotiriou T.P.: Over-spinning a black hole with a test body. Phys. Rev. Lett. 103, 141101 (2009)
Jacobson T., Sotiriou T.P.: Over-spinning a black hole with a test body. Phys. Rev. Lett. 103, 209903 (2009) (Erratum)
Hod S., Piran T.: Cosmic Censorship: the role of Quantum Gravity. Gen. Relativ. Gravit. 12, 2333–2338 (2000)
de Felice F., Yunqiang Yu.: Turning a black hole into a naked singularity. Class. Quant. Grav. 18, 1235–1244 (2001)
Matsas G.E.A., da Silva A.R.R.: Overspinning a Nearly Extreme Charged Black Hole via a Quantum Tunneling Process. Phys. Rev. Lett. 99, 181301 (2007)
Matsas G.E.A., Richartz M., Saa A., da Silva A.R.R., Vanzella D.A.T.: Can quantum mechanics fool the cosmic censor?. Phys. Rev. D 79, 101502(R) (2009)
Hod S.: Weak cosmic censorship: as strong as ever. Phys. Rev. Lett. 100, 121101 (2008)
Hod S.: Return of the quantum cosmic censor. Phys. Lett. B 668, 346–349 (2008)
Bouhmadi-López M., Cardoso V., Nerozzi A., Rocha J.V.: Black holes die hard: can one spin up a black hole past extremality?. Phys. Rev. D 81, 084051 (2010)
Wang B., Su R.K., Yu P.K.N., Young E.C.M.: Can a nonextremal Reissner-Nordström black hole become extremal by assimilating an infalling charged particle and shell?. Phys. Rev. D 57, 5284–5286 (1998)
Hawking S.W., Horowitz G.T., Ross S.F.: Entropy, area, and black hole pairs. Phys. Rev. D 51, 4302–4314 (1995)
‘t Hooft G.: The scattering matrix approach for the quantum black hole: an overview. Int. J. Mod. Phys. A 11, 4623–4688 (1996)
Shapiro S.L., Teukolsky S.A.: Formation of naked singularities: the violation of cosmic censorship. Phys. Rev. Lett. 66, 994–997 (1991)
Misner C.W., Thorne K.S., Wheeler J.A.: Gravitation. Freeman, New York (1973)
Wu T.T., Yang C.N.: Dirac monopole without strings: Monopole harmonics. Nucl. Phys. B 107, 365–380 (1976)
Semiz İ.: Klein–Gordon equation is separable on the dyon black-hole metric. Phys. Rev. D 45, 532–533 (1992)
Semiz İ.: Klein–Gordon equation is separable on the dyon black-hole metric. Phys. Rev. D 47, 5615 (1993) (Erratum)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Semiz, İ. Dyonic Kerr–Newman black holes, complex scalar field and cosmic censorship. Gen Relativ Gravit 43, 833–846 (2011). https://doi.org/10.1007/s10714-010-1108-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-010-1108-z