Thermodynamic equilibrium condition and the first law of thermodynamics for charged perfect fluids in electromagnetic and gravitational fields

Abstract

We provide a proof of the necessary and sufficient condition on the profile of the temperature, chemical potential, and angular velocity for a charged perfect fluid in dynamic equilibrium to be in thermodynamic equilibrium not only in fixed but also in dynamical electromagnetic and gravitational fields. In passing, we also present the corresponding expression for the first law of thermodynamics for such a charged star.

typos corrected, clarifications made, version to appear in CQG

References in corpus (2)

• Einstein's Equations in Matter
• Consistency between dynamical and thermodynamical stabilities for charged self-gravitating perfect fluid

Cited by in corpus (2)

• Dynamic and Thermodynamic Stability of Charged Perfect Fluid Stars
• Thermodynamic parameters of fluids on conformally connected spacetimes