Entropy Production and Equilibrium Conditions of General-Covariant Spin Systems

TL;DR

This paper extends thermodynamic analysis to general-relativistic spin systems, examining entropy production, equilibrium conditions, and the effects of non-symmetric energy-momentum tensors in curved spacetime geometries.

Contribution

It generalizes Eckart's thermodynamics to curved spacetimes with spin, analyzing entropy and equilibrium conditions in gravitational theories.

Findings

Entropy production formulas for spin systems in curved spacetime.

Conditions for thermodynamic equilibrium in gravitational theories.

Implications of non-symmetric energy-momentum tensors on thermodynamics.

Abstract

In generalizing the special-relativistic one-component version of Eckart's continuum thermodynamics to general-relativistic space-times with Riemannian or post-Riemannian geometry, we consider the entropy production and other themodynamical quantities such as the entropy flux and the Gibbs fundamental equation. We discuss equilibrium conditions in gravitational theories which are based on such geometries. In particular, thermodynamic implications of the non-symmetry of the energy-momentum tensor and the related spin balance equations are investigated, also for the special case of General Relativity.