Naked Reissner-Nordström singularity and quasiclassical bound states

Abstract

The bound-state problem for an uncharged massive scalar particle in the field of a naked Reissner-Nordström singularity is approached by means of the quasiclassical Bohr-Sommerfeld quantization. An approximate analytical expression for the energy levels of the system is derived. It is shown that in order to obtain non-vanishing binding energies the masses of both the central object and the particle should be comparable with the Planck mass.

3 pages

References in corpus (3)

• Who's Afraid of Naked Singularities?
• Similarities Between Classical Timelike Geodesics in a Naked Reissner-Nordstrom Singularity Background and the Behaviour of Electrons in Quantum Theory
• The repulsive nature of naked singularities from the point of view of Quantum Mechanics