Published August 15, 2009 | Version v1
Journal article

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

  • 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

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

Optional Information

Notes
(c) 2009 The American Physical Society