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The Tolman-Ehrenfest criterion of thermal equilibrium in scalar-tensor gravity
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The Tolman-Ehrenfest criterion for the thermal equilibrium of a fluid at rest in a static general-relativistic geometry is generalized to scalar-tensor gravity. Surprisingly, the gravitational scalar field, which fixes the strength of the effective gravitational coupling, does not play a role in determining thermal equilibrium. As a result, heat does not sink more in a gravitational field where gravity is stronger.
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Thermodynamic parameters of fluids on conformally connected spacetimes
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