2017/02/05 by Ahmad Al-Badawi
Physics and Astronomy · #gr-qc
published as General Relativity and Gravitation (2018) 50:16 · 17 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1702.00368
arxiv created 2017/02/05 · arxiv updated 2019/07/19
The Dirac equation is considered in Schwarzschild black hole immersed in an electromagnetic universe with charge coupling. The equations of the charged spin-1/2 particle is separated into radial and angular equations by adopting the Newman-Penrose formalism. The angular equations obtained are similar to the Schwarzschild geometry. For the radial equations we manage to obtain the one dimensional Schrödinger-type wave equations with effective potentials. Due to the presence of electromagnetic field from the surroundings, the interaction with the charged spin-1/2 is considered. Finally, we study the behaviour of the potentials by plotting them as a function of radial distance and expose the effect of the external parameter, charge and the frequency of the particle on them.