The Entropy of Nonrotating Isolated Horizons in Lovelock Theory from Loop Quantum Gravity

Abstract

In this paper, the BF theory method is applied to the nonrotating isolated horizons in Lovelock theory. The final entropy matches the Wald entropy formula for this theory. We also confirm the conclusion got by Bodendorfer et. al. that the entropy is related to the flux operator rather than the area operator in general diffeomorphic-invariant theory.

4 pages, no figures

References in corpus (5)

• Flux-area operator and black hole entropy
• Black Hole Thermodynamics and Statistical Mechanics
• On Gravitational anomaly and Hawking radiation near weakly isolated horizon
• BF Theory Explanation of the Entropy for Non-rotating Isolated Horizons
• Isolated horizons in higher-dimensional Einstein-Gauss-Bonnet gravity

Cited by in corpus (2)

• Microscopic states of Kerr black holes from boundary-bulk correspondence
• Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons