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On the use of the entropy principle in general relativity

Tolman, Richard C. (1930) On the use of the entropy principle in general relativity. Physical Review, 35 (8). pp. 896-903. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:TOLpr30b

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Abstract

The main purpose of this article is to use the extension of thermodynamics to general relativity, previously proposed by the author, to obtain expressions which will give the criteria for the thermodynamic equilibrium of a static gravitating system in a readily applicable mathematical form. After restating the principle chosen by the author as the general relativity analogue of the second law of thermodynamics, and showing once more that it is a natural covariant generalization of the ordinary second law of thermodynamics, the principle is then applied to finite systems in general and to adiabatic systems having no flux of matter or heat at the boundary. The mathematical conditions for thermodynamic equilibrium are then obtained for the case of any finite static system, and a specially useful form for these conditions is obtained for the case that the system has spherical symmetry.


Item Type:Article
Additional Information:©1930 The American Physical Society. Received 30 December 1929.
Record Number:CaltechAUTHORS:TOLpr30b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:TOLpr30b
Alternative URL:http://dx.doi.org/10.1103/PhysRev.35.896
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2576
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Apr 2006
Last Modified:26 Dec 2012 08:49

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