Solutions to the Dirac equation in Kerr-Newman geometries including the black-hole region

2022/04/12 by Christoph Krpoun, Olaf Müller
#Black Holes and Theoretical Physics #Algebraic and Geometric Analysis #Numerical methods for differential equations

paper · pdf · 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.

Related

• Dirac Equation on Kerr--Newman spacetime and Heun functions
• Creation of fermions by rotating charged black-holes
• On Challenges to Separability of the Dirac Equation in Kerr Geometry under Compact Hyperboloidal Coordinates
• Dirac Equation in Kerr Geometry
• Dirac equation in Kerr geometry and its solution