Bulk-Brane Interaction and Holographic Dark Energy

Abstract

In this paper 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 assumes 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 show, taking ${\Omega }_{\Lambda }=0.73$ for the present time, the lower bound of $w_{\mathrm{\Lambda }}^{eff}$ is -0.9. This implies that one can not generate phantom-like equation of state from an interacting holographic dark energy model in non-flat universe.

10 pages, no figure, some references added

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