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In two preceding articles,(1) the principles of thermodynamics have been expressed in a form suitable for applications in general relativity, and then applied to Einstein's closed universe, employing a set of coordinates in which the line element assumes the form ds^2 = -R^2dX^2 - R^2 sin^2 X(dθ^2 + sin^2 θdp^2) + dt2.

On the Equilibrium between Radiation and Matter in Einstein's Closed Universe