Ruxandra Bondarescu, Andrew P. Lundgren, Mihai Bondarescu
We observe the past and present of the universe, but can we predict the far future? Observations suggest that in thousands of billions of years from now most matter and radiation will be absorbed by the cosmological horizon. As it absorbs the contents of the universe, the cosmological horizon is pushed further and further away. In time, the universe asymptotes towards an equilibrium state of the gravitational field. Flat Minkowski space is the limit of this process. It is indistinguishable from a space with an extremely small cosmological constant (\Lambda -> 0) and thus has divergent entropy.
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http://arxiv.org/abs/1305.6838
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