Thermal fields, entropy and black holes

1998/02/03 by Valeri P. Frolov, Valeri Frolov, D. V. Fursaev +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1088/0264-9381/15/8/001

published as Class.Quant.Grav. 15 (1998) 2041-2074 · 44 pages, LaTeX file

arxiv created 1998/02/03 · openalex publication_date 1998/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In this review we describe the statistical mechanics of quantum systems in the presence of a Killing horizon and compare statistical-mechanical and 1-loop contributions to black-hole entropy. The study of these questions was motivated by attempts to explain the entropy of black holes as a statistical-mechanical entropy of quantum fields propagating near the black-hole horizon. We provide an introduction to this field of research and review its results. In particular, we discuss the relation between the statistical-mechanical entropy of quantum fields and the Bekenstein-Hawking entropy in the standard scheme with renormalization of gravitational coupling constants and in the theories of induced gravity.

Citations

• Quantum States of Black Holes
• Study of Three Dimensional Quantum Black Holes
• Black hole entropy and entropy of entanglement
• Thermodynamic ensembles and gravitation
• Black hole entropy in the O(N) model
• Quantum Fields in Curved Space
• The four laws of black hole mechanics
• Entropy and Area
• Entanglement Entropy of Nontrivial States
• Particle creation by black holes
• Generalized second law of thermodynamics in black-hole physics
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Holes and Entropy
• Plenty of Nothing: Black Hole Entropy in Induced Gravity

Cited by

• Superfluid analogies of cosmological phenomena
• Renormalization of entanglement entropy and the gravitational effective action