Naked Reissner-Nordström singularity and quasiclassical bound states

Details Naked Reissner-Nordström singularity and quasiclassical bound states Naked Reissner-Nordström singularity and quasiclassical bound states

2011-10-14

arxiv.org/abs/1110.3181v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages

Scientific paper

The bound-state problem for an uncharged massive scalar particle in the field of a naked Reissner-Nordstr\"om 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.

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