Expressions are derived for the mass of a stationary axisymmetric solution of the Einstein equations containing a black hole surrounded by matter and for the difference in mass between two neighboring such solutions. Two of the quantities which appear in these expressions, namely the area A of the event horizon and the “surface gravity” ? of the black hole, have a close analogy with entropy and temperature respectively. This analogy suggests the formulation of four laws of black hole mechanics which correspond to and in some ways transcend the four laws of thermodynamics.
ER -
%0 Journal Article
%1 bardeen73
%A Bardeen, J. M.
%A Carter, B.
%A Hawking, S. W.
%D 1973
%J Communications in Mathematical Physics
%K blackHoles thermodynamics
%N 2
%P 161--170
%T The four laws of black hole mechanics
%U http://dx.doi.org/10.1007/BF01645742
%V 31
%X Expressions are derived for the mass of a stationary axisymmetric solution of the Einstein equations containing a black hole surrounded by matter and for the difference in mass between two neighboring such solutions. Two of the quantities which appear in these expressions, namely the area A of the event horizon and the “surface gravity” ? of the black hole, have a close analogy with entropy and temperature respectively. This analogy suggests the formulation of four laws of black hole mechanics which correspond to and in some ways transcend the four laws of thermodynamics.
ER -
@article{bardeen73,
abstract = {Expressions are derived for the mass of a stationary axisymmetric solution of the Einstein equations containing a black hole surrounded by matter and for the difference in mass between two neighboring such solutions. Two of the quantities which appear in these expressions, namely the area A of the event horizon and the “surface gravity” ? of the black hole, have a close analogy with entropy and temperature respectively. This analogy suggests the formulation of four laws of black hole mechanics which correspond to and in some ways transcend the four laws of thermodynamics.
ER -},
added-at = {2010-06-22T17:51:03.000+0200},
author = {Bardeen, J. M. and Carter, B. and Hawking, S. W.},
biburl = {https://www.bibsonomy.org/bibtex/2fe591f0a4c77b48cdb65594e2f624023/mcclung},
description = {SpringerLink - Journal Article},
interhash = {a5bd7906f1e46b24a62e9aa888198d47},
intrahash = {fe591f0a4c77b48cdb65594e2f624023},
journal = {Communications in Mathematical Physics},
keywords = {blackHoles thermodynamics},
month = {#jun#},
number = 2,
pages = {161--170},
timestamp = {2010-06-22T17:51:04.000+0200},
title = {The four laws of black hole mechanics},
url = {http://dx.doi.org/10.1007/BF01645742},
volume = 31,
year = 1973
}