2017/02/01 by A. Al-Badawi, M. Q. Owaidat · 8 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Dirac equation #Dirac sea #Electromagnetic field #Quantum Electrodynamics and Casimir Effect #Quasinormal mode #Schwarzschild metric #Schwarzschild radius #Spacetime #Superposition principle #Two-body Dirac equations #gr-qc
paper · pdf · doi:10.1007/s10714-017-2279-7
published in General Relativity and Gravitation 49(8) (Springer Science+Business Media)
arxiv created 2017/02/01 · openalex created_date 2017/02/10 · openalex publication_date 2017/07/28 · arxiv updated 2017/08/24 · openalex updated_date 2026/08/05
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.