The paper presents an analysis of effective potentials of Dirac equations in Schwarzschild and Reissner–Nordström fields. It is shown that in the majority of the explored cases the condition of a particle “fall” to the corresponding event horizons is fulfilled. An exception is one of the solutions with a normalizable wave functions for the Reissner–Nordström extreme field, for which the existence of a stationary bound state of a half-spin particles is possible inside the event horizon.
Gravitation and Cosmology – Springer Journals
Published: Aug 24, 2017
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