Solutions to the Dirac Equation in Kerr-Newman Geometries including the black-hole region
arXiv:2204.05741 · doi:10.1016/j.geomphys.2022.104689
Abstract
We investigate the Dirac equation in Kerr-Newman space-time, using horizon penetrating coordinates (Eddington-Finkelstein-Coordinates) and the Newman-Penrose formalism to separate the equation into radial and angular systems of ordinary differential equations, and deriving the asymptotics of the radial solutions at infinity and at the Cauchy horizon.
arXiv comment26 pages
References in corpus (5)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Non-Existence of Time-Periodic Solutions of the Dirac Equation in an Axisymmetric Black Hole Geometry
- The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry
- Local U(2,2) Symmetry in Relativistic Quantum Mechanics
- The Massive Dirac Equation in the Kerr Geometry: Separability in Eddington-Finkelstein-type Coordinates and Asymptotics