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arXiv · 2210.15605

Temperature in relativistic fluids

Pavel Kovtun
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Abstract

For static matter in a gravitational field, different conventions for equilibrium local temperature exist in the classic physics literature. We illustrate the difference between two popular conventions using black-body radiation in a spherically symmetric gravitational potential. Equilibrium temperatures defined by the "Landau frame" or "Eckart frame" prescriptions most commonly used in relativistic fluid dynamics do not satisfy the statistical-mechanical relation $1/T=dS/dE$.

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Pavel Kovtun. 2022-10-27. Temperature in relativistic fluids. https://doi.org/10.1103/physrevd.107.086012

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