Temperature in relativistic fluids

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 blackbody 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 $1/T=dS/dE$.

Topics & Concepts