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Quasibound states of the Dirac field in Schwarzschild and Reissner-Nordstr\"om black hole backgrounds

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arxiv 1905.05086 v2 pith:WHM3HARP submitted 2019-05-13 gr-qc

Ciprian A. Sporea This is my paper · ORCID
classification gr-qc
keywords statesblackenergyholereissner-nordstrdiracgeometriesquasibound
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abstract

In this paper, we study the existence of (quasi)bound states in two spacetime geometries describing Schwarzschild and Reissner-Nordstr\"om black holes. For obtaining this type of states we search for discrete quantum modes of the massive Dirac equation in the two geometries. After imposing the quantization condition, an analytical expression for the energy of the ground states is derived. The energy of higher states is then obtained numerically. For very small values of the black hole mass $M$ we compare the energy of the Reissner-Nordstr\"om black hole quasibound state with the Dirac-Coulomb energy and we have found the two to be in good agreement.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Multishell Dirac fermions in the Einstein-Dirac system

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Multishell solutions of the spherically symmetric Einstein-Dirac system are constructed for 2, 6, 12, and 20 fermions.

  2. Quasibound states of a charged Dirac field around regular black holes

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Charged massive Dirac quasibound modes on ABG black holes stay damped; ABG and RN share hydrogenic real frequencies, but ABG’s inner barrier can make some modes much longer-lived.

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