HOLOGRAPHIC INTERACTING DARK ENERGY IN THE BRANEWORLD COSMOLOGY
We investigate a model of brane cosmology to find a unified description of the radiation-matter-dark energy universe. It is of the interacting holographic dark energy with a bulk-holographic matter χ. This is a five-dimensional cold dark matter, which plays a role of radiation on the brane. Using the effective equations of state [Formula: see text] instead of the native equations of state ωΛ, we show that this model cannot accommodate any transition from the dark energy with [Formula: see text] to the phantom regime [Formula: see text]. Furthermore, the case of interaction between four-dimensional cold dark matter and five-dimensional cold dark matter is considered for completeness. Here we find that the redshift of matter-radiation equality z eq is the same order as [Formula: see text]. Finally, we obtain a general decay rate Γ which is suitable for describing all interactions.