Equation-of-state formalism for dark energy models on the brane and the
  future of brane universes
  Brane dark energy cosmologies, leading to various possible evolutions of our
universe, are investigated. The discussion shows that while all these models
can be made arbitrarily close to the standard $\Lambda$CDM cosmology at
present, their future evolutions can be very different, even diverge with time
in a number of ways. This includes asymptotic de-Sitter evolution, Little Rip
with dissolution of bound structures, and various possible singularities, as
the Big Rip, a sudden future singularity (Type II), and Type III and Type IV
cases. Specifically, some interesting effects coming from the brane tension are
investigated. It is shown, in particular, that the Little Rip occurs faster on
the brane model than in usual FRW cosmology. And in the asymptotic de-Sitter
regime the influence of the brane tension leads to a deviation of the value of
the effective cosmological constant from that corresponding to ordinary dark
energy. As a consequence, the value of the inertial force from the accelerating
expansion can greatly exceed the corresponding inertial force in ordinary
cosmological models.
