Abstract
We have investigated the effects of the interaction between a brane universe and the bulk in which it is embedded. Considering the effects of the interaction between a brane universe and the bulk, we have obtained the equation of state for the interacting holographic Ricci dark energy density ρΛ=3c2(H˙+2H2) in the flat universe. We have investigated the impact of c2 on the equation of state ωΛ. Also, considering the power law for of the scale factor, we have observed that nontrivial contributions of dark energy which differ from the standard matter fields confined to the brane are increasing with the evolution of the universe.
Highlights
The observed accelerated expansion of the universe is usually attributed to the presence of an exotic kind of energy, called “dark energy” (DE) [1,2,3,4,5,6,7,8]
The Type Ia supernova (SNIa) observations, cosmic microwave background (CMB), and baryon acoustic oscillations (BAO) have confirmed that about 73% of the energy density of the present universe consists of dark energy
We observe that u is increasing with time. This indicates that nontrivial contributions of dark energy which differ from the standard matter fields confined to the brane are increasing with the evolution of the universe
Summary
The observed accelerated expansion of the universe is usually attributed to the presence of an exotic kind of energy, called “dark energy” (DE) [1,2,3,4,5,6,7,8]. This implies that an effective field theory with UV cutoff Λ in a box of size L is not self-consistent, if it does not satisfy the Bekenstein entropy bound [28] It was suggested in [29] that the total energy in a region of size L should not exceed the mass of a black hole of the same size. The purpose of the present work is to disclose the effect of the energy exchange between the brane and the bulk on the evolution of the universe by considering the flow of energy onto or away from the brane. Saridakis [51] applied the bulk holographic dark energy in general 5D two-brane models and extracted the Friedmann equation on the physical brane and showed that in the general moving brane case the effective 4D holographic dark energy behaves as a quintom for a large parameter-space area of a simple solution subclass. We apply this material to a brane-world cosmology under the assumption that the cold dark matter energy density on the brane is conserved, but the RDE density on the brane is not conserved due to brane-bulk energy exchange
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