Finster, Felix and Krpoun, Christoph (2025) An integral representation for the Dirac propagator in the Reissner-Nordström geometry in Eddington-Finkelstein coordinates. LETTERS IN MATHEMATICAL PHYSICS, 115 (3): 59. ISSN 0377-9017, 1573-0530
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The Cauchy problem for the massive Dirac equation is studied in the Reissner-Nordstr & ouml;m geometry in horizon-penetrating Eddington-Finkelstein-type coordinates. We derive an integral representation for the Dirac propagator involving the solutions of the ordinary differential equations which arise in the separation of variables. Our integral representation describes the dynamics of Dirac particles outside and across the event horizon, up to the Cauchy horizon.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TIME-PERIODIC SOLUTIONS; EQUATION; NONEXISTENCE; PARTICLES; DECAY; Black holes; Dirac equation; Reissner-Nordstr & ouml;m metric; horizon-penetrating coordinates |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Jun 2026 05:35 |
| Last Modified: | 09 Jun 2026 05:35 |
| URI: | https://pred.uni-regensburg.de/id/eprint/65923 |
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