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.

"massless" added to the title. Published in EPJC

References in corpus (19)

• Test bodies and naked singularities: is the self-force the cosmic censor?
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Weak Cosmic Censorship: As Strong as Ever
• Destroying extremal Kerr-Newman black holes with test particles
• Overspinning a nearly extreme charged black hole via a quantum tunneling process
• Overcharging higher-dimensional black holes with point particles
• Thermodynamics and weak cosmic censorship conjecture in extended phase spaces of anti-de Sitter black holes with particles' absorption
• Overspinning a nearly extreme black hole and the Weak Cosmic Censorship conjecture
• Overspinning BTZ black holes with test particles and fields
• Can quantum mechanics fool the cosmic censor?
• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Return of the quantum cosmic censor
• Stability of event horizons against neutrino flux: The classical picture
• Weak cosmic censorship conjecture in Einstein-Born-Infeld black holes
• Kerr-Newman black holes can be generically overspun
• Cosmic censorship conjecture in a general Kerr-Newman black hole
• Overcharging dilaton black holes in 2+1 dimensions to extremality and beyond
• The variational method, backreactions, and the absorption probability in Wald type problems
• Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field

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