Quantization of the black hole area as quantization of the angular momentum component

Journal Article · Sat Aug 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.044022· OSTI ID:21322481

Ropotenko, Kostyantyn ^[1]

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1. State Administration of Communications, Ministry of Transport and Communications of Ukraine, 22, Khreschatyk, 01001, Kyiv (Ukraine)

In transforming from Schwarzschild to Euclidean Rindler coordinates the Schwarzschild time transforms to a periodic angle. As is well-known, this allows one to introduce the Hawking temperature and is an origin of black hole thermodynamics. On the other hand, according to quantum mechanics this angle is conjugate to the z component of the angular momentum. From the commutation relation and quantization condition for the angular momentum component it is found that the area of the horizon of a Schwarzschild black hole is quantized with the quantum {delta}A=8{pi}l{sub P}{sup 2}. It is shown that this conclusion is also valid for a generic Kerr-Newman black hole.

• OSTI ID: 21322481
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 4; Other Information: DOI: 10.1103/PhysRevD.80.044022; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ANGULAR MOMENTUM
BLACK HOLES
EUCLIDEAN SPACE
KERR FIELD
PERIODICITY
QUANTIZATION
QUANTUM MECHANICS
SCHWARZSCHILD METRIC
THERMODYNAMICS