Bulk-brane interaction and holographic dark energy

In this Letter we consider the bulk-brane interaction to obtain the equation of state for the holographic energy density in non-flat universe enclosed by the event horizon measured from the sphere of horizon named L. We assume that the cold dark matter energy density on the brane is conserved, but the holographic dark energy density on the brane is not conserved due to brane-bulk energy exchange. Our calculation shows, taking ΩΛ=0.73 for the present time, the lower bound of wΛeff is −0.9. This implies that one cannot generate phantom-like equation of state from an interacting holographic dark energy model in non-flat universe.