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Temperature equilibrium in a static gravitational field

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.

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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.

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Additional Information:©1930 The American Physical Society. Received 27 October 1930.
Issue or Number:12
Record Number:CaltechAUTHORS:TOLpr30d
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2596
Deposited By: Tony Diaz
Deposited On:12 Apr 2006
Last Modified:08 Nov 2021 19:49

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