A BGK collision term yields first-order Chapman-Enskog thermal coefficients that close the Einstein-Boltzmann system for spatially homogeneous models with dissipation.
Kremer, The Boltzmann equation in special and general rela tivity, AIP Conference Proceedings, 1501, 160 (2012)
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The near equilibrium Einstein-Boltzmann system with a simplified collision term
A BGK collision term yields first-order Chapman-Enskog thermal coefficients that close the Einstein-Boltzmann system for spatially homogeneous models with dissipation.