Overcharging a multi black hole system and cosmic censorship

Abstract

We study the generalization of the gadenken experiment of overcharging an extremal black hole proposed by Wald in the context of a multi black hole solution. In particular, we attempt to overcharge a system of two extremal black holes via test particle absorption to produce a system involving a black hole and a naked singularity. If such a process is possible, then this would be a potential violation of the cosmic censorship hypothesis. However, we find that, analogous to Wald's result for a single charged black hole, such a test particle which can expose the singularity, would not be able to enter the horizon. This provides an interesting and non-trivial example that supports the validity of the cosmic censorship hypothesis in four-dimensional general relativity.

arXiv comment10 pages, No figure, Published in PRD, Reference updated

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Cited by in corpus (7)

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• Overcharging higher curvature black holes
• Overcharging Extremal Black Holes
• Testing the weak cosmic censorship conjecture for a Reissner-Nordström-de Sitter black hole surrounded by perfect fluid dark matter
• Overcharging problem and thermodynamics in extended phase spaces
• Overcharging process around a magnetized black hole: Can the backreaction effect of magnetic field restore cosmic censorship conjecture?
• Violation of cosmic censorship in Einstein-Maxwell-Scalar models with fractional coupling