  We consider an application of the tetrad formalism introduced by Cardall et
al. [Phys. Rev. D 88 (2013) 023011] to the problem of a rigidly rotating
relativistic gas in thermal equilibrium and discuss the possible applications
of this formalism to relativistic lattice Boltzmann simulations. We present in
detail the transformation to the comoving frame, the choice of tetrad, as well
as the explicit calculation and analysis of the components of the equilibrium
particle flow four-vector and of the equilibrium stress-energy tensor.
