The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity

Abstract

In this paper, we extend the calculation of the entropy of the nonrotating isolated horizons in 4 dimensional spacetime to that in a higher dimensional spacetime. We show that the boundary degrees of freedom on an isolated horizon can be described effectively by a punctured $SO(1,1)$ BF theory. Then the entropy of the nonrotating isolated horizon can be calculated out by counting the microstates. It satisfies the Bekenstein-Hawking law.

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Cited by in corpus (2)

• A note on electrical and thermodynamic properties of Isolated Horizon
• Counter-term for the Palatini action of general relativity