Greybody radiation of scalar and Dirac perturbations of NUT black holes
Abstract
We consider the spinorial wave equations, namely the Dirac and the KleinGordon 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 NewmanPenrose (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 onedimensional 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 KleinGordon 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.
 Publication:

European Physical Journal Plus
 Pub Date:
 January 2022
 DOI:
 10.1140/epjp/s13360021022279
 arXiv:
 arXiv:2111.15005
 Bibcode:
 2022EPJP..137...94A
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 19 Pages and 7 Figures. Accepted for Publication in EPJP: The European Physical Journal Plus