The Dirac propagator in the Kerr-Newman metric

Details The Dirac propagator in the Kerr-Newman metric The Dirac propagator in the Kerr-Newman metric

2006-06-12

arxiv.org/abs/gr-qc/0606050v3

Prog.Theor.Phys. 116 (2006) 517-544

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, modifications in the abstract and in the introduction, small improvements in section 2.1

Scientific paper

10.1143/PTP.116.517

We give an alternative proof of the completeness of the Chandrasekhar ansatz for the Dirac equation in the Kerr-Newman metric. Based on this, we derive an integral representation for smooth compactly supported functions which in turn we use to derive an integral representation for the propagator of solutions of the Cauchy problem with initial data in the above class of functions. As a by-product, we also obtain the propagator for the Dirac equation in the Minkowski space-time in oblate spheroidal coordinates.

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