The Dirac equation in Schwarzschild mass coupled to a Stationary Electromagnetic Field
arXiv:1702.00368 · doi:10.1007/s10714-017-2279-7
Abstract
We study the Dirac equation in a spacetime that represents the nonlinear superposition of the Schwarzchild solution to an external, stationary electromagnetic Berttoti-Robinson solution. We separate the Dirac equation into radial and angular equations using Newman--Penrose formalism. We obtain exact analytical solutions of the angular equations. We manage to obtain the radial wave equations with effective potentials. Finally, we study the potentials by plotting them as a function of radial distance and examine the effect of the twisting parameter and the frequencies on the potentials.
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- Greybody Radiation of scalar and Dirac perturbations of NUT Black Holes
- Scattering of Dirac fermions by spherical massive bodies
- Massless fermions on static general prolate metrics and their Heun solutions