Abstract

A self-gravitating gas in ak = -1 Robertson-Walker space-time, in which the space-time geometry is homogeneous and isotropic but the one-particle distribution function is anisotropic, is studied. The kinematic average four-velocity of the gas is tilted and the gas has nonvanishing heat flow and anisotropic stress. The formalism applied in seeking a consistent Einstein-Liouville solution is the covariant harmonic decomposition of the one-particle distribution function. A problem that arises, in the space-time studied, is the mixing of the harmonic coefficients and the higher-order coefficients may therefore influence the dynamics of the gas.

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