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Title: Statistical mechanics of the three-dimensional Euclidean black hole

Abstract

In its formulation as a Chern-Simons theory, three-dimensional general relativity induces a Wess-Zumino-Witten (WZW) action on spatial boundaries. Treating the horizon of the three-dimensional Euclidean black hole as a boundary, I count the states of the resulting WZW model, and show that when analytically continued back to Lorentzian signature, they yield the correct Bekenstein-Hawking entropy. The relevant states can be understood as {open_quotes}would-be gauge{close_quotes} degrees of freedom that become dynamical at the horizon. {copyright} {ital 1997} {ital The American Physical Society}

Authors:
 [1]
  1. Department of Physics, University of California, Davis, California 95616 (United States)
Publication Date:
Research Org.:
Univ. of California (United States)
OSTI Identifier:
471236
DOE Contract Number:  
FG03-91ER40674
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 55; Journal Issue: 2; Other Information: PBD: Jan 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; BLACK HOLES; STATISTICAL MECHANICS; ENTROPY; THREE-DIMENSIONAL CALCULATIONS; GENERAL RELATIVITY THEORY; DEGREES OF FREEDOM

Citation Formats

Carlip, S. Statistical mechanics of the three-dimensional Euclidean black hole. United States: N. p., 1997. Web. doi:10.1103/PhysRevD.55.878.
Carlip, S. Statistical mechanics of the three-dimensional Euclidean black hole. United States. https://doi.org/10.1103/PhysRevD.55.878
Carlip, S. 1997. "Statistical mechanics of the three-dimensional Euclidean black hole". United States. https://doi.org/10.1103/PhysRevD.55.878.
@article{osti_471236,
title = {Statistical mechanics of the three-dimensional Euclidean black hole},
author = {Carlip, S},
abstractNote = {In its formulation as a Chern-Simons theory, three-dimensional general relativity induces a Wess-Zumino-Witten (WZW) action on spatial boundaries. Treating the horizon of the three-dimensional Euclidean black hole as a boundary, I count the states of the resulting WZW model, and show that when analytically continued back to Lorentzian signature, they yield the correct Bekenstein-Hawking entropy. The relevant states can be understood as {open_quotes}would-be gauge{close_quotes} degrees of freedom that become dynamical at the horizon. {copyright} {ital 1997} {ital The American Physical Society}},
doi = {10.1103/PhysRevD.55.878},
url = {https://www.osti.gov/biblio/471236}, journal = {Physical Review, D},
number = 2,
volume = 55,
place = {United States},
year = {Wed Jan 01 00:00:00 EST 1997},
month = {Wed Jan 01 00:00:00 EST 1997}
}