Tolman, Richard C. and Ehrenfest, Paul (1930) Temperature equilibrium in a static gravitational field. Physical Review, 36 (12). pp. 1791-1798. ISSN 0031-899X. doi:10.1103/PhysRev.36.1791. https://resolver.caltech.edu/CaltechAUTHORS:TOLpr30d
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Abstract
In the case of a gravitating mass of perfect fluid which has come to thermodynamic equilibrium, it has previously been shown that the proper temperature T0 as measured by a local observer would depend in a definite manner on the gravitational potential at the point where the measurement is made. In the present article the conditions of thermal equilibrium are investigated in the case of a general static gravitational field which could correspond to a system containing solid as well as fluid parts. Writing the line element for the general static field in the form ds2=gijdxidxj+g44dt2 i,j=1,2,3, where the gij and g44 are independent of the time t it is shown that the dependence of proper temperature on position at thermal equilibrium is such as to make the quantity T0sqrt[g44] a constant throughout the system.
Item Type: | Article | ||||||
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Additional Information: | ©1930 The American Physical Society. Received 27 October 1930. | ||||||
Issue or Number: | 12 | ||||||
DOI: | 10.1103/PhysRev.36.1791 | ||||||
Record Number: | CaltechAUTHORS:TOLpr30d | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:TOLpr30d | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 2596 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Tony Diaz | ||||||
Deposited On: | 12 Apr 2006 | ||||||
Last Modified: | 08 Nov 2021 19:49 |
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