It has been shown that the high-temperature limit of perturbative ther
mal QCD is easily obtained from the Boltzmann transport equation for '
'classical'' coloured particles [P.F. Kelly et al., Phys. Rev. D 50 (1
994) 4209]. We generalize this treatment to curved space-time. We are
thus able to construct the effective stress-energy tenser. We give a c
onstruction for an effective action. As an example of the convenience
of the Boltzmann method, we derive the high-temperature 3-graviton fun
ction. We discuss the static case.