Abstract
We consider a set of non-linear interactions between dark matter and dark energy which comprises couplings proportional to products of (powers of) the energy densities of both dark components. We demonstrate that under such conditions the final state of the Universe may differ substantially from that of the standard ΛCDM model. In particular, the ratio of the energy densities of dark matter and dark energy may approach a stable value. A corresponding analytic solution for a particular case is shown to be consistent with the supernova type Ia (SNIa) data from the Union2 set. For a broader class of interactions, a dynamical system analysis classifies critical points with emphasis on the coincidence problem.
Published Version
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