Tolman-Ehrenfest's criterion of thermal equilibrium extended to conformally static spacetimes
arXiv:2301.09021 · doi:10.1103/PhysRevD.107.064072
Abstract
With insight from examples and physical arguments, the Tolman-Ehrenfest criterion of thermal equilibrium for test fluids in static spacetimes is extended to local thermal equilibrium in conformally static geometries. The temperature of the conformally rescaled fluid scales with the inverse of the conformal factor, reproducing the evolution of the cosmic microwave background in Friedmann universes, the Hawking temperature of the Sultana-Dyer cosmological black hole, and a heuristic argument by Dicke.
Section on cosmological black holes added, bibliography expanded. Matches the version accepted in Phys. Rev. D
References in corpus (11)
- Black Hole Evaporation in an Expanding Universe
- The Hawking temperature of expanding cosmological black holes
- Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
- Thermodynamics of Hot Neutron Stars and Universal Relations
- Do we need dense matter equation of state in curved spacetime for neutron stars?
- Local temperature in general relativity
- Quasi-geodesics in relativistic gravity
- Sailing Towards the Stars Close to the Speed of Light
- Heat conduction in general relativity
- Tolman-Ehrenfest-Klein Law in non-Riemannian geometries
- Interstellar travels aboard radiation-powered rockets