Nonlinear Phenomena in Complex Systems, 2026, Vol.29, No.1, pp.10

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2026, Vol.29, No.1, pp.10 - 36

Dirac Particle in Newman-Unti-Tamburino Specetime

N. G. Krylova and V. M. Red'kov

We derive the Dirac equation in the background of the Newman-Unti-Tamburino (NUT) spacetime by applying the tetrad formalism, and separate the angular and radial parts. We get the system of two differential equations for angular functions and solve them in terms of hypergeometric functions. Then a NUT-charge dependent quantization rule for the angular separation constant has been established. As a result of studying the radial equations, we demonstrate that the probability of particle-antiparticle production on the outer event horizon decreases with the increase of the NUT charge. For the massless fermion, we construct the solution of the radial system of Dirac equation in terms of the confluent Heun functions that allows to get the NUT-charge dependent scattering resonances. Under the assumption of small NUT charge, we study the extremal NUT black hole with a single horizon, when the Bekenstein--Hawking entropy vanishes identically, and reveal the non-zero NUT charge effects in wave characteristics.

Key words: Riemannian geometry, Newman-Unti-Tamburino spacetime, Dirac equation, spin 1/2 particle, NUT charge
DOI: https://doi.org/10.5281/zenodo.19346806

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