The thermodynamic limit and black hole entropy in the area ensemble

DOI10.1088/0264-9381/28/21/215014zbMATH Open1230.83054arXiv1106.3179OpenAlexW2019312127MaRDI QIDQ3102275

J. Fernando Barbero G., Eduardo J. S. Villaseñor

Publication date: 2 December 2011

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: We discuss the thermodynamic limit in the canonical area ensemble used in loop quantum gravity to model quantum black holes. The computation of the thermodynamic limit is the rigorous way to obtain a smooth entropy from the counting entropy given by a direct determination of the number of microstates compatible with macroscopic quantities (the energy in standard statistical mechanics or the area in the framework presented here). As we will show in specific examples the leading behavior of the smoothed entropy for large horizon areas is the same as the counting entropy but the subleading contributions differ. This is important because these corrections determine the concavity or convexity of the entropy as a function of the area.

Full work available at URL: https://arxiv.org/abs/1106.3179

Mathematics Subject Classification ID

Black holes (83C57) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Classical and relativistic thermodynamics (80A10) Measures of information, entropy (94A17)

Related Items (2)

Black holes and hot shells in the Euclidean path integral approach to quantum gravity ⋮ Temperature and entropy-area relation of quantum matter near spherically symmetric outer trapping horizons

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