The holographic dark energy in non-flat Brans-Dicke cosmology

In this Letter we study cosmological application of holographic dark energy density in the Brans-Dicke framework. We employ the holographic model of dark energy to obtain the equation of state for the holographic energy density in non-flat (closed) universe enclosed by the event horizon measured from the sphere of horizon named L. Our calculation shows, taking ΩΛ=0.73 for the present time, the lower bound of wΛ is −0.9. Therefore it is impossible to have wΛ crossing −1. This implies that one cannot generate phantom-like equation of state from a holographic dark energy model in non-flat universe in the Brans-Dicke cosmology framework. On the other hand, we suggest a correspondence between the holographic dark energy scenario in flat universe and the phantom dark energy model in framework of Brans-Dicke theory with potential.