Exploitation of the Dissipation Inequality in General Relativistic Continuum Thermodynamics

TL;DR

This paper applies the Liu procedure to the energy-momentum and spin balance equations in general relativistic continuum thermodynamics, deriving constraints on constitutive equations that ensure compliance with the Second Law of thermodynamics.

Contribution

It introduces a method to incorporate the dissipation inequality into relativistic thermodynamics, including special cases like spinless systems and curvature-insensitive materials.

Findings

Derived constraints for constitutive equations ensuring the Second Law

Analyzed special cases such as spinless systems

Discussed implications for curvature-insensitive materials

Abstract

The balance equations of energy-momentum and spin together with Einstein's field equations are investigated by the Liu procedure to find constraints for the constitutive equations in such a way that the Second Law is satisfied. Special cases such as spinless systems and curvature insensitive materials are shortly discussed.