Cosmological perturbations in mimetic matter model

Abstract

We investigate the cosmological evolution of mimetic matter model with arbitrary scalar potential. The cosmological reconstruction, which is the way to construct a model for arbitrary evolutions of the scale factor, is explicitly done for different choices of potential. The cases that mimetic matter model shows the evolution as Cold Dark Matter(CDM), wCDM model, dark matter and dark energy with dynamical $Om(z)$, where $Om(z)\equiv [(H(z)/H_0{)}^2-1]/[(1+z{)}^3-1],$ or phantom dark energy with phantom-non-phantom crossing are presented in detail. The cosmological perturbations for such evolution are studied in mimetic matter model. For instance, the evolution behavior of the matter density contrast which is different from usual one, i.e. $\ddot{\delta }+2H\dot{\delta }-{\kappa }^2\rho \delta /2=0$ is investigated. The possibility of peculiar evolution of $\delta$ in the model under consideration is shown. Special attention is paid to the behavior of matter density contrast near to future singularity where decay of perturbations may occur much earlier the singularity.

20 pages, 7 figures, version to appear in PRD

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• Higher Derivative Mimetic Gravity
• Black hole solutions in mimetic Born-Infeld gravity
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Primordial Cosmology in Mimetic Born-Infeld Gravity
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity
• Direct couplings of mimetic dark matter and their cosmological effects
• Emergent scenario in mimetic gravity