Electromagnetic field and cosmic censorship

Abstract

We construct a gedanken experiment in which an extremal Kerr black hole interacts with a test electromagnetic field. Using Teukolsky's solutions for electromagnetic perturbations in Kerr spacetime, and the conservation laws imposed by the energy momentum tensor of the electromagnetic field and the Killing vectors of the spacetime, we prove that this interaction cannot convert the black hole into a naked singularity, thus cosmic censorship conjecture is not violated in this case.

10 pages no figures

References in corpus (7)

• Weak Cosmic Censorship: As Strong as Ever
• Destroying extremal Kerr-Newman black holes with test particles
• Destroying a near-extremal Kerr-Newman black hole
• Overspinning a nearly extreme charged black hole via a quantum tunneling process
• Overspinning a nearly extreme black hole and the Weak Cosmic Censorship conjecture
• Can quantum mechanics fool the cosmic censor?
• Return of the quantum cosmic censor

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