Fine-grained state counting for black holes in loop quantum gravity

Abstract

A state of a black hole in loop quantum gravity is given by a distribution of spins on punctures on the horizon. The distribution is of the Boltzmann type, with the area playing the role of the energy. In investigations where the total area was kept approximately constant, there was a kind of thermal equilibrium between the spins which have the same analogue temperature and the entropy was proportional to the area. If the area is precisely fixed, however, multiple constraints appear, different spins have different analogue temperatures and the entropy is not strictly linear in the area, but is bounded by a linear rise.

5 pages, REVTeX; to appear in PRL

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• The Microcanonical Entropy of Quantum Isolated Horizon, `quantum hair' $N$ and the Barbero-Immirzi parameter fixation
• Area law for black hole entropy in the SU(2) quantum geometry approach
• Quasilocal conformal Killing horizons: Classical phase space and the first law
• Quasilocal rotating conformal Killing horizons
• The Gibbs paradox, Black hole entropy and the thermodynamics of isolated horizons
• A Possible Quantum Gravity Hint in Binary Black Hole Merger
• Holographic Bound on Area of Compact Binary Merger Remnant
• Aspects of quantum gravity
• Non- minimally Coupled Scalar Fields, Holst Action and Black Hole Mechanics
• Black hole state counting in loop quantum gravity
• Entropy of Black Holes in N=2 Supergravity
• Can Gravitational Wave Data Shed Light on Dark Matter Particles ?