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

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

2009-06-10

arxiv.org/abs/0906.1949v3

Phys.Rev.D80:044022,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages (revtex), no figures; a boundary condition for the differential equation (15) added; the absent of the remnants in the

Scientific paper

10.1103/PhysRevD.80.044022

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 $\Delta A = 8\pi l_P^{2}$. It is shown that this conclusion is also valid for a generic Kerr-Newman black hole.

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