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Analysis of half-spin particle motion in Reissner–Nordström and Schwarzschild fields by the method of effective potentials

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Abstract

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.

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Authors and Affiliations

  1. Russian Federal Nuclear Center—All-Russia Research Institute of Experimental Physics, prosp. Mira 37, Sarov, Nizhny Novgorod region, 607188, Russia

    M. V. Gorbatenko, V. P. Neznamov & E. Yu. Popov

  2. National Research Nuclear University MEPhI, Moscow, Russia

    V. P. Neznamov

Authors
  1. M. V. Gorbatenko
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  2. V. P. Neznamov
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  3. E. Yu. Popov
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Correspondence to M. V. Gorbatenko.

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Gorbatenko, M.V., Neznamov, V.P. & Popov, E.Y. Analysis of half-spin particle motion in Reissner–Nordström and Schwarzschild fields by the method of effective potentials. Gravit. Cosmol. 23, 245–250 (2017). https://doi.org/10.1134/S0202289317030057

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  • DOI: https://doi.org/10.1134/S0202289317030057

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