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

TL;DR

This paper uses thermal quantization of radial geodesics behind horizons to compute the BTZ black hole entropy, aligning with Bekenstein-Hawking, and reveals a linear relation between mass and orbital momentum.

Contribution

It introduces a quantum radial geodesic approach to derive black hole entropy and mass relations, providing a novel perspective on BTZ black hole quantization.

Findings

BTZ black hole entropy matches Bekenstein-Hawking formula

Particles occupy only the quantum ground state

Mass depends linearly on orbital momentum

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.