Abstract
Tensor perturbation in a closed anisotropic empty (mixmaster) universe is studied. Numerical solutions of the perturbation equations for the lowest inhomogeneous mode are given for some characteristic regimes of the background dynamics. The mixmaster universe is shown to be stable in this mode against gravitational perturbations. Growth of perturbations in the contraction of the universe shows the characteristic mixmaster-type oscillatory approach to singularity.

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