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.

References in corpus (28)

• An Alternative to Compactification
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Quantum Geometry and Black Hole Entropy
• Black Holes in Higher Dimensions
• Black Hole Entropy from Loop Quantum Gravity
• Isolated Horizons: Hamiltonian Evolution and the First Law
• Isolated Horizons: A Generalization of Black Hole Mechanics
• Biaxially symmetric solutions to 4D higher-spin gravity
• New Variables for Classical and Quantum Gravity in all Dimensions I. Hamiltonian Analysis
• New Variables for Classical and Quantum Gravity in all Dimensions III. Quantum Theory
• New Variables for Classical and Quantum Gravity in all Dimensions II. Lagrangian Analysis
• Quasi-local rotating black holes in higher dimension: geometry
• Mechanics of multidimensional isolated horizons
• Flux-area operator and black hole entropy
• Black Hole Thermodynamics and Statistical Mechanics
• On the Implementation of the Canonical Quantum Simplicity Constraint
• Phase-space and Black Hole Entropy of Higher Genus Horizons in Loop Quantum Gravity
• Black hole entropy from loop quantum gravity in higher dimensions
• On Gravitational anomaly and Hawking radiation near weakly isolated horizon
• New Variables for Classical and Quantum Gravity in all Dimensions V. Isolated Horizon Boundary Degrees of Freedom
• Fluid/Gravity Correspondence For General Non-rotating Black Holes
• BF Theory Explanation of the Entropy for Non-rotating Isolated Horizons
• Generic degeneracy and entropy in loop quantum gravity
• Mechanics of higher-dimensional black holes in asymptotically anti-de Sitter space-times
• BF theory explanation of the entropy for rotating isolated horizons
• The Wald entropy formula and loop quantum gravity
• Black hole entropy for the general area spectrum

Cited by in corpus (9)

• Entropy of black holes with arbitrary shapes in loop quantum gravity
• BF theory explanation of the entropy for rotating isolated horizons
• The thermodynamics of isolated horizons in loop quantum gravity
• Microscopic states of Kerr black holes from boundary-bulk correspondence
• The Conformal Field Theory on the Horizon of BTZ Black Hole
• Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons
• Holographic equipartition from first order action
• A note on electrical and thermodynamic properties of Isolated Horizon
• Counter-term for the Palatini action of general relativity