2021/11/30 by Ahmad Al-Badawi, Ahmad Al‐Badawi, Sara Kanzi +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Dirac equation #Geometry #Klein–Gordon equation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Nonlinear system #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Spacetime #Wave equation #Wave function #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1140/epjp/s13360-021-02227-9
published as Eur. Phys. J. Plus (2022) 137:94 · 19 Pages and 7 Figures. Accepted for Publication in EPJP: The European Physical Journal Plus
openalex publication_date 2022/01/07 · arxiv created 2022/01/11 · arxiv updated 2022/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the spinorial wave equations, namely the Dirac and the Klein-Gordon equations, and greybody radiation in the NUT black hole spacetime. To this end, we first study the Dirac equation in NUT spacetime by using a null tetrad in the Newman-Penrose (NP) formalism. Next, we separate the Dirac equation into radial and angular sets. The angular set is solved in terms of associated Legendre functions. With the radial set, we obtain the decoupled radial wave equations and derive the one-dimensional Schrödinger wave equations together with effective potentials. Then, we discuss the potentials by plotting them as a function of radial distance in a physically acceptable region. We also study the Klein-Gordon equation to compute the greybody factors (GFs) for both bosons and fermions. The influence of the NUT parameter on the GFs of the NUT spacetime is investigated in detail.