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| The currently preferred models of the universe undergo accelerated expansion induced by dark energy. One model for dark energy is a positive cosmological constant. It is consequently of interest to study Einstein's equations with a positive cosmological constant coupled to matter satisfying the ordinary energy conditions; the dominant energy condition etc. In this talk, the future asymptotic behaviour of $T^3$-Gowdy symmetric solutions to the Einstein-Vlasov equations with a positive cosmological constant will be discussed. In particular, the cosmic no-hair conjecture will be shown in this setting. This is a joint work with Hans Ringstr\"{o}m. |
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