BF Theory Explanation of the Entropy for Non-rotating Isolated Horizons

Abstract

We consider the nonrotating isolated horizon as an inner boundary of a four-dimensional asymptotically flat spacetime region. Due to the symmetry of the isolated horizon, it turns out that the boundary degrees of freedom can be described by a SO(1,1) BF theory with sources. This provides a new alternative approach to the usual one using Chern-Simons theory to study the black hole entropy. To count the microscopical degrees of freedom with the boundary BF theory, the entropy of the isolated horizon can also be calculated in the framework of loop quantum gravity. The leading-order contribution to the entropy coincides with the Bekenstein-Hawking area law only for a particular choice of the Barbero-Immirzi parameter, which is different from its value in the usual approach using Chern-Simons theory. Moreover, the quantum correction to the entropy formula is a constant term rather than a logarithmic term.

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References in corpus (3)

• Quantum Gravity in 2+1 Dimensions
• Flux-area operator and black hole entropy
• Covariant canonical formalism for four-dimensional BF theory

Cited by in corpus (17)

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• Horizon entropy with loop quantum gravity methods
• Entropy of black holes with arbitrary shapes in loop quantum gravity
• BF theory explanation of the entropy for rotating isolated horizons
• A note on entanglement entropy and quantum geometry
• A Note on Black Hole Entropy in Loop Quantum Gravity
• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity
• The thermodynamics of isolated horizons in loop quantum gravity
• 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
• The Conformal Field Theory on the Horizon of BTZ Black Hole
• Holographic equipartition from first order action
• A Discussion on Possible Effects of the Barbero-Immirzi Parameter at the TeV-scale Particle Physics
• The Entropy of Nonrotating Isolated Horizons in Lovelock Theory from Loop Quantum Gravity
• Hamiltonian Analysis of 3-dimensional Spacetime in Bondi-like Coordinates
• Hamiltonian Analysis of 4-dimensional Spacetime in Bondi-like Coordinates
• A note on electrical and thermodynamic properties of Isolated Horizon