Belarusian State Agrarian Technical University
UDK 53 Физика
UDK 520 Инструменты, приборы и методы астрономических наблюдений, измерений и анализа
UDK 521 Теоретическая астрономия. Небесная механика. Фундаментальная астрономия. Теория динамической и позиционной астрономии
UDK 523 Солнечная система
UDK 524 Звезды и звездные системы. Вселенная Солнце и Солнечная система
UDK 52-1 Метод изучения
UDK 52-6 Излучение и связанные с ним процессы
GRNTI 41.00 АСТРОНОМИЯ
GRNTI 29.35 Радиофизика. Физические основы электроники
GRNTI 29.31 Оптика
GRNTI 29.33 Лазерная физика
GRNTI 29.27 Физика плазмы
GRNTI 29.05 Физика элементарных частиц. Теория полей. Физика высоких энергий
OKSO 03.06.01 Физика и астрономия
OKSO 03.05.01 Астрономия
OKSO 03.04.03 Радиофизика
BBK 2 ЕСТЕСТВЕННЫЕ НАУКИ
BBK 223 Физика
TBK 614 Астрономия
TBK 6135 Оптика
BISAC SCI004000 Astronomy
BISAC SCI005000 Physics / Astrophysics
We study the quantum-mechanical problem of a spin 1/2 particle in gravitational field of the black hole with Newman-Unti-Tamburino (NUT) parameter. Separation of the variables has been performed in the Dirac equation. The system of angular equations has been solved analytically in terms of hypergeometric functions. The quantization condition for the angular parameter is derived. In the massless case, the radial system is reduced to separate systems of two first-order equations which are solved in terms of the confluent Heun functions. Generalized tortoise-like coordinate is introduced, and expressions for the effective complex-valued potentials are found. We may expect that the present analysis can permit us to elucidate the physical interpretation for the Newman-Unti-Tamburino metric. The question arises about possible existence of the Hawking-like radiation in this model.
black hole physics: Newman-Unti-Tamburino black hole; equations: individual (Dirac, Heun); spin 1/2 particle
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