DIRAC PARTICLE IN GRAVITATIONAL FIELD OF BLACK HOLE WITH NEWMAN-UNTI-TAMBURINO PARAMETER
Section: HIGH ENERGY ASTROPHYSICS
Authors:
1.
Belarusian State Agrarian Technical University
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
2.
B. I. Stepanov Institute of Physics of the National
Academy of Sciences of Belarus
Type:
Сonference article
Published:
27.12.2024
Subject area:
UDC 52
UDC 53
UDC 520
UDC 521
UDC 523
UDC 524
UDC 52-1
UDC 52-6
CSCSTI 41.00
CSCSTI 29.35
CSCSTI 29.31
CSCSTI 29.33
CSCSTI 29.27
CSCSTI 29.05
Russian Classification of Professions by Education 03.06.01
Russian Classification of Professions by Education 03.05.01
Russian Classification of Professions by Education 03.04.03
Russian Library and Bibliographic Classification 2
Russian Library and Bibliographic Classification 223
Russian Trade and Bibliographic Classification 614
Russian Trade and Bibliographic Classification 6135
BISAK SCI004000 Astronomy
BISAK SCI005000 Physics / Astrophysics
UDC 53
UDC 520
UDC 521
UDC 523
UDC 524
UDC 52-1
UDC 52-6
CSCSTI 41.00
CSCSTI 29.35
CSCSTI 29.31
CSCSTI 29.33
CSCSTI 29.27
CSCSTI 29.05
Russian Classification of Professions by Education 03.06.01
Russian Classification of Professions by Education 03.05.01
Russian Classification of Professions by Education 03.04.03
Russian Library and Bibliographic Classification 2
Russian Library and Bibliographic Classification 223
Russian Trade and Bibliographic Classification 614
Russian Trade and Bibliographic Classification 6135
BISAK SCI004000 Astronomy
BISAK SCI005000 Physics / Astrophysics
Language:
English
Keywords:
black hole physics: Newman-Unti-Tamburino black hole; equations: individual (Dirac, Heun); spin 1/2 particle
Funding:
This work was supported in the framework of the national project N.10.12/2021-41-13 by the National Academy of Science of the Republic of Belarus
Abstract (English):
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.
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.
Keywords:
black hole physics: Newman-Unti-Tamburino black hole; equations: individual (Dirac, Heun); spin 1/2 particle
black hole physics: Newman-Unti-Tamburino black hole; equations: individual (Dirac, Heun); spin 1/2 particle
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