English

Temperature in relativistic fluids

General Relativity and Quantum Cosmology 2023-04-26 v2 High Energy Physics - Theory

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/dE1/T=dS/dE.

Keywords

Cite

@article{arxiv.2210.15605,
  title  = {Temperature in relativistic fluids},
  author = {Pavel Kovtun},
  journal= {arXiv preprint arXiv:2210.15605},
  year   = {2023}
}

Comments

14 pages, 3 figures. V2: Small clarifications, version accepted for publication in PRD

R2 v1 2026-06-28T04:39:43.546Z