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Solutions of the Einstein equations with flat homogeneous spacelike hypersurfaces but anisotropic expansion rates are given in which the effects of viscosity in the radiation, and of anisotropic pressures from collisionless radiation, are included. These show that the present anisotropy of the black-body photon temperature should be less than 003 per cent, independent of the amount of initial anisotropy, if the Universe has cooled to its present state from temperatures above about 2 X 1010 ° K
Charles W. Misner (Thu,) studied this question.