The Wald entropy formula and loop quantum gravity

Abstract

We outline how the Wald entropy formula naturally arises in loop quantum gravity based on recently introduced dimension-independent connection variables. The key observation is that in a loop quantization of a generalized gravity theory, the analog of the area operator turns out to measure, morally speaking, the Wald entropy rather than the area. We discuss the explicit example of (higher-dimensional) Lanczos-Lovelock gravity and comment on recent work on finding the correct numerical prefactor of the entropy by comparing it to a semiclassical effective action.

23 pages. v2: journal version. Details added, discussion clarified

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• Quantum theory of charged isolated horizons
• Some notes on the Kodama state, maximal symmetry, and the isolated horizon boundary condition
• Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons
• Stability of Schwarzschild (Anti)de Sitter black holes in Conformal Gravity
• Near horizon symmetry and entropy of black holes in $f(R)$ gravity and conformal gravity
• The Entropy of Nonrotating Isolated Horizons in Lovelock Theory from Loop Quantum Gravity
• The Entropy of BTZ Black Hole from Loop Quantum Gravity