
Roberto Casadio, Octavian Micu, Dejan Stojkovic. Horizon WaveFunction and the Quantum Cosmic Censorship. Phys. Lett. B, 2015.
Abstract:
We investigate the Cosmic Censorship Conjecture by means of the horizon wavefunction (HWF) formalism. We consider a charged massive particle whose quantum mechanical state is represented by a spherically symmetric Gaussian wavefunction, and restrict our attention to the superxtremal case (with chargetomass ratio a > 1), which is the prototype of a naked singularity in the classical theory. We find that one can still obtain a normalisable HWF for a^2 < 2, and this configuration has a nonvanishing probability of being a black hole, thus extending the classically allowed region for a charged black hole. However, the HWF is not normalisable for a^2 > 2, and the uncertainty in the location of the horizon blows up at a^2 < 2, signalling that such an object is no more welldefined. This perhaps implies that a quantum Cosmic Censorhip might be conjectured by stating that no black holes with chargetomass ratio greater than a critical value can exist.
Keywords:
superextremal black holes, ReissnerNordström metric, horizon wave function
Posted by
Octavian Micu
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