An integral spectral representation of the massive Dirac propagator in the Kerr geometry in Eddington-Finkelstein-type coordinates

DOI10.4310/ATMP.2018.v22.n1.a3zbMath1480.81058arXiv1606.01509WikidataQ129272983 ScholiaQ129272983MaRDI QIDQ1785723

Christian Röken, Felix Finster

Publication date: 1 October 2018

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01509

Mathematics Subject Classification ID

Black holes (83C57) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Equations of motion in general relativity and gravitational theory (83C10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (4)

Local Dirac energy decay in the 5D Myers-Perry geometry using an integral spectral representation for the Dirac propagator ⋮ The massive Dirac equation in Kerr geometry: separability in Eddington-Finkelstein-type coordinates and asymptotics ⋮ The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary ⋮ Møller operators and Hadamard states for Dirac fields with MIT boundary conditions

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