Dirac equation in Kerr-Taub NUT spacetime

Abstract

We study Dirac equation in Kerr-Taub-NUT spacetime. We use Boyer-Lindquist coordinates and separate the resulting equations into radial and angular parts. We get some exact analytical solutions of the angular equations for some special cases. We also obtain the radial wave equations with an effective potential. Finally we discuss the potentials by plotting them as a function of radial distance in a physically acceptable region.

29 pages, 4 figures, extended discussion part, one reference added, accepted for publication

References in corpus (8)

• Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
• Particle Acceleration on the Background of the Kerr-Taub-NUT Spacetime
• Dirac Equation in Kerr-NUT-(A)dS Spacetimes: Intrinsic Characterization of Separability in All Dimensions
• Rotating Spacetimes with Asymptotic Non-Flat Structure and the Gyromagnetic Ratio
• Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor
• Solution of the Dirac equation in the rotating Bertotti-Robinson spacetime
• Dirac Equation in the Background of the Nutku Helicoid Metric
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Cited by in corpus (5)

• Solution of Dirac equation and greybody radiation around a regular Bardeen black hole surrounded by quintessence
• Greybody Radiation of scalar and Dirac perturbations of NUT Black Holes
• Magnetized Kerr-Taub-NUT spacetime and Kerr/CFT correspondence
• The Dirac equation in Schwarzschild mass coupled to a Stationary Electromagnetic Field
• Geometric phase in Taub-NUT spacetime