The Dirac propagator in the extreme Kerr metric

Abstract

Starting with the Dirac equation in the extreme Kerr metric we derive an integral representation for the propagator of solutions of the Cauchy problem with initial data in the class of smooth compactly supported functions.

arXiv comment9 pages, one more reference added

References in corpus (7)

• The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry
• Decay Rates and Probability Estimates for Massive Dirac Particles in the Kerr-Newman Black Hole Geometry
• Relativistic Dyson Rings and Their Black Hole Limit
• On the Eigenvalues of the Chandrasekhar-Page Angular Equation
• The Dirac propagator in the Kerr-Newman metric
• Bound State Solutions of the Dirac Equation in the Extreme Kerr Geometry
• Quasistationary collapse to the extreme Kerr black hole

Cited by in corpus (5)

• The Klein-Gordon-Fock equation in the curved spacetime of the Kerr-Newman (anti) de Sitter black hole
• The Dirac Equation in Kerr-Newman-AdS Black Hole Background
• Absence of Normalizable Time-periodic Solutions for The Dirac Equation in Kerr-Newman-dS Black Hole Background
• On the bound states of the Dirac equation in the extreme Kerr metric
• On the eigenvalues of the fermionic angular eigenfunctions in the Kerr metric