The repulsive nature of naked singularities from the point of view of Quantum Mechanics

Abstract

We use the Dirac equation coupled to a background metric to examine what happens to quantum mechanical observables like the probability density and the radial current in the vicinity of a naked singularity of the Reissner-Nordström type. We find that the wave function of the Dirac particle is regular in the point of the singularity. We show that the probability density is exactly zero at the singularity reflecting quantum-mechanically the repulsive nature of the naked singularity. Furthermore, the surface integral of the radial current over a sphere in the vicinity of the naked singularity turns out to be also zero.

arXiv comment11 pages

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Cited by in corpus (7)

• Characterizing repulsive gravity with curvature eigenvalues
• Light on curved backgrounds
• Nonstationary regime for quasinormal modes of the charged Vaidya metric
• Wormhole Cosmic Censorship
• Repulsive gravity effects in horizon formation. Horizon remnants in naked singularities
• 'Stealth' singularities from self-gravitating fermions
• Naked Reissner-Nordström singularity and quasiclassical bound states