Cosmic censorship, massless fermionic test fields, and absorption probabilities

Abstract

In the conventional approach, fermionic test fields lead to a generic overspinning of black holes resulting in the formation of naked singularities. The absorption of the fermionic test fields with arbitrarily low frequencies is allowed for which the contribution to the angular momentum parameter of the space-time diverges. Recently we have suggested a more subtle treatment of the problem considering the fact that only the fraction of the test fields that is absorbed by the black hole contributes to the space-time parameters. Here, we re-consider the interaction of massless spin $(1/2)$ fields with Kerr and Kerr-Newman black holes, adapting this new approach. We show that the drastic divergence problem disappears when one incorporates the absorption probabilities. Still, there exists a range of parameters for the test fields that can lead to overspinning. We employ backreaction effects due to the self-energy of the test fields which fixes the overspinning problem for fields with relatively large amplitudes, and renders it non-generic for smaller amplitudes. This non-generic overspinning appears likely to be fixed by alternative semi-classical and quantum effects.

arXiv comment"massless" added to the title. Published in EPJC

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Cited by in corpus (9)

• Nonperturbative gedanken experiments in Einstein-dilaton-Gauss-Bonnet gravity: nonlinear transitions and tests of the cosmic censorship beyond General Relativity
• Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability
• Challenging event horizons with spin (3/2) fields
• Spin-2 fields and cosmic censorship
• Can the induced increase in the angular velocity prevent the overspinning of BTZ black holes?
• Second order variations and the overspinning problem in Kerr-Taub-NUT spacetime
• The generalized second law for fermionic and bosonic fields
• Self energy in Kerr-Sen space-time incorporated to overspinning and overcharging problems
• The generalized second law for Kerr-Taub-NUT black holes perturbed by test field