Entropy calculation for a toy black hole

Abstract

In this note we carry out the counting of states for a black hole in loop quantum gravity, however assuming an equidistant area spectrum. We find that this toy-model is exactly solvable, and we show that its behavior is very similar to that of the correct model. Thus this toy-model can be used as a nice and simplifying `laboratory' for questions about the full theory.

18 pages, 4 figures. v2: Corrected mistake in bibliography, added appendix with further results

References in corpus (3)

• Toward explaining black hole entropy quantization in loop quantum gravity
• Black hole radiation spectrum in LQG: Isolated Horizon framework
• Holographic bound and spectrum of quantized black hole

Cited by in corpus (1)

• Toward explaining black hole entropy quantization in loop quantum gravity