Anderson-Witting transport coefficients for flows in general relativity

TL;DR

This paper derives relativistic transport coefficients using the Anderson-Witting approximation in general relativity, demonstrating their equivalence to flat space results via tetrad formalism and the equivalence principle.

Contribution

It provides a derivation of transport coefficients in curved spacetime, extending flat space results to general relativity with a tetrad approach.

Findings

Transport coefficients match flat space expressions in curved spacetime.

The derivation confirms the generalized equivalence principle.

Results are applicable to near-equilibrium relativistic flows.

Abstract

The transport coefficients induced by the Anderson-Witting approximation of the collision term in the relativistic Boltzmann equation are derived for close to equilibrium flows in general relativity. Using the tetrad formalism, it is shown that the expression for these coefficients is the same as that obtained on flat space-time, in agreement with the generalized equivalence principle.