Abstract:
In this paper, we study the effects that are produced by the interaction between a brane Universe and the bulk in which
the Universe is embedded. Taking into account the effects produced by the interaction between a brane Universe and the bulk,
we derived the equation of state parameter D for three different models of dark energy (DE): holographic DE model with
infrared cutoff given by the Granda–Oliveros cutoff, the modified holographic Ricci DE model, and a DE model that is a function
of the Hubble parameter H squared and to higher derivatives of H. Moreover, we have considered two different cases of scale factor
(namely, the power law and the emergent ones). A nontrivial contribution of the DE is observed to be different from the standard
matter fields confined to the brane. Such contribution has amonotonically decreasing behavior upon the evolution of the Universe for
the emergent scenario of the scale factor, while monotonically increasing for the power-law form of the scale factor a(t).
