Structure Formation in the Effective Field Theory of Holographic Dark Energy

Abstract

We investigate the structure formation in the effective field theory of the holographic dark energy. The equation of motion for the energy contrast ${\delta }_m$ of the cold dark matter is the same as the one in the general relativity up to the leading order in the small scale limit $k\gg aH$, provided the equation of state is Quintessence-like. Our effective field theory breaks down while the equation of state becomes phantom-like. We propose a solution to this problem by eliminating the scalar graviton.

17 pages, 4 figures; revised appendix

References in corpus (8)

• Imperfect Dark Energy from Kinetic Gravity Braiding
• Can dark energy evolve to the Phantom?
• A Critique of Holographic Dark Energy
• Inflationary gravitational waves in consistent $D\to 4$ Einstein-Gauss-Bonnet gravity
• Minimally modified gravity with an auxiliary constraint: a Hamiltonian construction
• Constraints on the dark matter sound speed from galactic scales: the cases of the Modified and Extended Chaplygin Gas
• An effective field theory of holographic dark energy
• A New Model of Holographic Dark Energy with Action Principle

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