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The massive Dirac equation in Kerr geometry: separability in Eddington–Finkelstein-type coordinates and asymptotics

Röken, Christian (2017) The massive Dirac equation in Kerr geometry: separability in Eddington–Finkelstein-type coordinates and asymptotics. General Relativity and Gravitation 49 (3).

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Other URL: http://doi.org/10.1007/s10714-017-2194-y


Abstract

The separability of the massive Dirac equation in the non-extreme Kerr geometry in horizon-penetrating advanced Eddington-Finkelstein-type coordinates is shown. To this end, Kerr geometry is described by a Carter tetrad and the Dirac spinors and matrices are given in a chiral Newman-Penrose dyad representation. Applying Chandrasekhar's mode ansatz, the Dirac equation is separated into systems of ...

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Item type:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Felix Finster
Identification Number:
ValueType
10.1007/s10714-017-2194-yDOI
Keywords:BLACK-HOLE GEOMETRY; FIELD; PERTURBATIONS; PARTICLES; ELECTRON; METRICS; WAVES; Kerr geometry; Massive Dirac equation; Newman-Penrose formalism; Horizon-penetrating coordinates; Mode solutions
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:38639
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