Overcharging a multi black hole system and cosmic censorship
arXiv:1905.00394 · doi:10.1103/PhysRevD.100.024030
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.
10 pages, No figure, Published in PRD, Reference updated
References in corpus (15)
- Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
- 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
- Destroying a near-extremal Kerr-Newman black hole
- Overspinning a Kerr black hole: the effect of self-force
- Overspinning a nearly extreme charged black hole via a quantum tunneling process
- Overcharging higher-dimensional black holes with point particles
- Gedanken experiments on nearly extremal black holes and the Third Law
- The double-Reissner-Nordstrom solution and the interaction force between two spherically symmetric charged particles
- Equilibrium configurations of two charged masses in General Relativity
- On the equilibrium of a charged massive particle in the field of a Reissner-Nordström black hole
- On geometry of deformed black holes: I. Majumdar-Papapetrou binary
- Massless charged particles: Cosmic censorship, and Third law of Black Hole Mechanics