Statistical description of the black hole degeneracy spectrum
arXiv:1101.3662 · doi:10.1103/PhysRevD.83.104013
Abstract
We use mathematical methods based on generating functions to study the statistical properties of the black hole degeneracy spectrum in loop quantum gravity. In particular we will study the persistence of the observed effective quantization of the entropy as a function of the horizon area. We will show that this quantization disappears as the area increases despite the existence of black hole configurations with a large degeneracy. The methods that we describe here can be adapted to the study of the statistical properties of the black hole degeneracy spectrum for all the existing proposals to define black hole entropy in loop quantum gravity.
41 pages, 12 figures
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- Quantum Gravity in the Sky: Interplay between fundamental theory and observations
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- Observations on interfacing loop quantum gravity with cosmology
- The thermodynamic limit and black hole entropy in the area ensemble
- Canonical Partition function of Loop Black Holes
- Quasinormal modes and horizon area quantisation in Loop Quantum Gravity
- Statistical analysis of entropy correction from topological defects in Loop Black Holes
- Functional evolution of scalar fields in bounded one-dimensional regions
- Spontaneous particle creation by oscillating compact stars
- Report on the session QG4 of the 13th Marcel Grossmann Meeting