On the Use of the Entropy Principle in General Relativity
- 15 April 1930
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 35 (8) , 896-903
- https://doi.org/10.1103/physrev.35.896
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.Keywords
This publication has 5 references indexed in Scilit:
- On the Use of the Energy-Momentum Principle in General RelativityPhysical Review B, 1930
- Further Remarks on the Second Law of Thermodynamics in General RelativityProceedings of the National Academy of Sciences, 1928
- On the Equilibrium between Radiation and Matter in Einstein's Closed UniverseProceedings of the National Academy of Sciences, 1928
- On the Energy and Entropy of Einstein's Closed UniverseProceedings of the National Academy of Sciences, 1928
- On the Extension of Thermodynamics to General RelativityProceedings of the National Academy of Sciences, 1928