Black hole state degeneracy in Loop Quantum Gravity

Abstract

The combinatorial problem of counting the black hole quantum states within the Isolated Horizon framework in Loop Quantum Gravity is analyzed. A qualitative understanding of the origin of the band structure shown by the degeneracy spectrum, which is responsible for the black hole entropy quantization, is reached. Even when motivated by simple considerations, this picture allows to obtain analytical expressions for the most relevant quantities associated to this effect.

22 pages, 7 figures

References in corpus (2)

• Phase-space and Black Hole Entropy of Higher Genus Horizons in Loop Quantum Gravity
• Toward explaining black hole entropy quantization in loop quantum gravity

Cited by in corpus (2)

• Black hole state counting in Loop Quantum Gravity: A number theoretical approach
• Generating functions for black hole entropy in Loop Quantum Gravity