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The Tolman-Ehrenfest criterion of thermal equilibrium in scalar-tensor gravity

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arxiv 2406.09251 v2 pith:DI3RWGPE submitted 2024-06-13 gr-qc

classification gr-qc
keywords equilibriumgravitationalgravitythermalcriterionfieldscalar-tensortolman-ehrenfest
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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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  1. Thermodynamic parameters of fluids on conformally connected spacetimes

    gr-qc 2025-05 conditional novelty 6.0 of 10

    For conformally related Einstein spacetimes, equilibrium fluid temperature and chemical potential both scale as the inverse conformal factor, preserving the ratio μ/T.

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