Entropy of BTZ black hole and its spectrum by quantum radial geodesics behind horizons

Abstract

In the framework of thermal quantization of radial geodesics completely confined behind the horizons we calculate the entropy of BTZ black hole in agreement with the Bekenstein--Hawking relation. Particles in the BTZ black hole occupy the only quantum ground level. The quantization allow us to find a linear dependence of black hole mass versus its orbital momentum.

6 pages, 2 eps-figures, revtex4 class

References in corpus (3)

• Gravity and the Thermodynamics of Horizons
• Entropy of Horizons, Complex Paths and Quantum Tunneling
• Radial geodesics as a microscopic origin of black hole entropy. I: Confined under the Schwarzschild horizon

Cited by in corpus (1)

• Adiabatic analysis of the rotating BTZ black hole