Abstract
As an approximation to the near horizon regime of black holes, the Rindler fluid was proposed on an accelerating cutoff surface in the flat spacetime. The concept of the Rindler fluid was then generalized into a flat bulk with the cutoff surface of the induced de Sitter and FRW universe, such that an effective description of dark fluid in the accelerating universe can be investigated.
Highlights
The origin and properties of the dark fluid, mainly including the dark energy and dark matter, are still mysterious in the current universe
One recent example is the emergent gravity by Verlinde [3], which is inspired by the volume law correction to the entropy on a holographic screen, whereas the Einstein gravity is related to the area law [4]
We show that a holographic model of the emergent dark universe can naturally realize the duality between the dark fluid in (3+1)-dimension and a modified gravity in (4+1)-dimension
Summary
The origin and properties of the dark fluid, mainly including the dark energy and dark matter, are still mysterious in the current universe. We show that a holographic model of the emergent dark universe (hEDU) can naturally realize the duality between the dark fluid in (3+1)-dimension and a modified gravity in (4+1)-dimension. We consider that the dark fluid in the universe emerges as the holographic stress-energy tensor on the hypersurface in one higher dimensional flat bulk [5, 6]. After adding the localized stress-energy tensor Tμν on the hypersurface with intrinsic metric gμν and extrinsic curvature Kμν, the induced Einstein field equations on the holographic screen are modified as. We assume that Tμν only includes the components of normal matter, and 〈T 〉μdν represents the total dark components in our universe, such as dark energy and dark matter. Rindler fluid [15,16,17,18,19,20,21,22], which is a new perspective on the membrane paradigm of black holes, where the Brown-York stress-energy tensor is used
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