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Thermodynamic theory of black holes

Journal Article:

Abstract

The thermodynamic theory underlying black hole processes is developed in detail and applied to model systems. It is found that Kerr-Newman black holes undergo a phase transition at a = 0.68M or Q = 0.86M, where the heat capacity has an infinite discontinuity. Above the transition values the specific heat is positive, permitting isothermal equilibrium with a surrounding heat bath. Simple processes and stability criteria for various black hole situations are investigated. The limits for entropically favoured black hole formation are found. The Nernst conditions for the third law of thermodynamics are not satisfied fully for black holes. There is no obvious thermodynamic reason why a black hole may not be cooled down below absolute zero and converted into a naked singularity. Quantum energy-momentum tensor calculations for uncharged black holes are extended to the Reissner-Nordstrom case, and found to be fully consistent with the thermodynamic picture for Q < M. For Q < M the model predicts that 'naked' collapse also produces radiation, with such intensity that the collapsing matter is entirely evaporated away before a naked singularity can form.
Authors:
Davies, P C.W. [1] 
  1. King's Coll., London (UK). Dept. of Mathematics
Publication Date:
Apr 21, 1977
Product Type:
Journal Article
Reference Number:
AIX-08-319899; EDB-77-134632
Resource Relation:
Journal Name: Proc. R. Soc. (London), Ser. A; (United Kingdom); Journal Volume: 353:1675
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; THERMODYNAMIC MODEL; ENTROPY; GRAVITATIONAL COLLAPSE; KERR METRIC; MATHEMATICAL MODELS; PHASE TRANSFORMATIONS; QUANTUM MECHANICS; SINGULARITY; SPECIFIC HEAT; TENSORS; THERMODYNAMICS; MECHANICS; METRICS; PARTICLE MODELS; PHYSICAL PROPERTIES; STATISTICAL MODELS; THERMODYNAMIC PROPERTIES; 640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources
OSTI ID:
7219716
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: PRLAA
Submitting Site:
INIS
Size:
Pages: 499-521
Announcement Date:

Journal Article:

Citation Formats

Davies, P C.W. Thermodynamic theory of black holes. United Kingdom: N. p., 1977. Web.
Davies, P C.W. Thermodynamic theory of black holes. United Kingdom.
Davies, P C.W. 1977. "Thermodynamic theory of black holes." United Kingdom.
@misc{etde_7219716,
title = {Thermodynamic theory of black holes}
author = {Davies, P C.W.}
abstractNote = {The thermodynamic theory underlying black hole processes is developed in detail and applied to model systems. It is found that Kerr-Newman black holes undergo a phase transition at a = 0.68M or Q = 0.86M, where the heat capacity has an infinite discontinuity. Above the transition values the specific heat is positive, permitting isothermal equilibrium with a surrounding heat bath. Simple processes and stability criteria for various black hole situations are investigated. The limits for entropically favoured black hole formation are found. The Nernst conditions for the third law of thermodynamics are not satisfied fully for black holes. There is no obvious thermodynamic reason why a black hole may not be cooled down below absolute zero and converted into a naked singularity. Quantum energy-momentum tensor calculations for uncharged black holes are extended to the Reissner-Nordstrom case, and found to be fully consistent with the thermodynamic picture for Q < M. For Q < M the model predicts that 'naked' collapse also produces radiation, with such intensity that the collapsing matter is entirely evaporated away before a naked singularity can form.}
journal = {Proc. R. Soc. (London), Ser. A; (United Kingdom)}
volume = {353:1675}
journal type = {AC}
place = {United Kingdom}
year = {1977}
month = {Apr}
}