Scattering for massive Dirac fields on the Kerr metric

Details Scattering for massive Dirac fields on the Kerr metric Scattering for massive Dirac fields on the Kerr metric

2006-06-12

arxiv.org/abs/gr-qc/0606051v3

J.Math.Phys.48:022502,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages, 1 figure, new proof of Lemma III.1, minor changes in Section III, a few typos corrected in Thm. IV.1 and Thm. B.3

Scientific paper

10.1063/1.2456345

Starting with the Dirac equation outside the event horizon of a non-extreme Kerr black hole, we develop a time-dependent scattering theory for massive Dirac particles. The explicit computation of the modified wave operators at infinity is done by implementing a time-dependent logarithmic phase shift from the free dynamics to offset the long range term in the full Hamiltonian due to the presence of the gravitational force. Analytical expressions for the wave operators are also given.

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