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

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Cited by in corpus (17)

• Black Holes in Loop Quantum Gravity
• Black hole entropy and isolated horizons thermodynamics
• Detailed black hole state counting in loop quantum gravity
• The Fine Structure of SU(2) Intertwiners from U(N) Representations
• The SU(2) Black Hole entropy revisited
• Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
• Flux-area operator and black hole entropy
• On the computation of black hole entropy in loop quantum gravity
• Black Hole Entropy, Loop Gravity, and Polymer Physics
• Toward explaining black hole entropy quantization in loop quantum gravity
• Entropy of black holes with arbitrary shapes in loop quantum gravity
• Absence of log correction in entropy of large black holes
• On the distribution of the eigenvalues of the area operator in loop quantum gravity
• Loop quantum gravity - a short review
• Approximation of the naive black hole degeneracy
• Black Hole Entropy in Loop Quantum Gravity and Number Theory
• Holographic bound in covariant loop quantum gravity