Published August 15, 2009
| Version v1
Journal article
Quantization of the black hole area as quantization of the angular momentum component
Creators
- 1. State Administration of Communications, Ministry of Transport and Communications of Ukraine, 22, Khreschatyk, 01001, Kyiv (Ukraine)
Description
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 ΔA=8πlP2. It is shown that this conclusion is also valid for a generic Kerr-Newman black hole.
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.80.044022;
- arXiv
- arXiv:0906.1949v3;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 80
- Journal Issue
- 4
- Journal Page Range
- p. 044022-044022.4
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41063604
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
- Descriptors DEI
- ANGULAR MOMENTUM; BLACK HOLES; EUCLIDEAN SPACE; KERR FIELD; PERIODICITY; QUANTIZATION; QUANTUM MECHANICS; SCHWARZSCHILD METRIC; THERMODYNAMICS
- Descriptors DEC
- GRAVITATIONAL FIELDS; MATHEMATICAL SPACE; MECHANICS; METRICS; RIEMANN SPACE; SPACE; VARIATIONS
Optional Information
- Notes
- (c) 2009 The American Physical Society