Greybody Radiation of scalar and Dirac perturbations of NUT Black Holes

Abstract

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.

19 Pages and 7 Figures. Accepted for Publication in EPJP: The European Physical Journal Plus

References in corpus (8)

• Greybody factor for black string in dRGT massive gravity
• Greybody Radiation and Quasinormal Modes of Kerr-like Black Hole in Bumblebee Gravity Model
• Greybody factors for rotating black holes in higher dimensions
• Quasinormal modes, shadow and greybody factors of 5D electrically charged Bardeen black holes
• On the parameters of the Kerr-NUT-(anti-)de Sitter space-time
• Application of the Gauss-Bonnet theorem to lensing in the NUT metric
• Approximative analytical solutions of the Dirac equation in Schwarzschild spacetime
• Absence of Normalizable Time-periodic Solutions for The Dirac Equation in Kerr-Newman-dS Black Hole Background

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• Quasinormal Modes and Bounding Greybody Factors of GUP-corrected Black Holes in Kalb-Ramond Gravity
• Fermionic and Bosonic Greybody Factors as well as Quasinormal Modes for Charged Taub NUT Black Holes
• Weak Deflection Angle, Greybody Bound and Shadow for Charged Massive BTZ Black Hole
• Geometric phase in Taub-NUT spacetime
• Some exact Green function solutions for non-linear classical field theories
• The Dirac and Klein-Gordon equations and Greybody Radiation for the Regular Hayward Black Hole