Dark Energy Oscillations in Mimetic $F(R)$ Gravity

Abstract

In this paper we address the problem of dark energy oscillations in the context of mimetic $F(R)$ gravity with potential. The issue of dark energy oscillations can be a problem in some models of ordinary $F(R)$ gravity and a remedy that can make the oscillations milder is to introduce additional modifications in the functional form of the $F(R)$ gravity. As we demonstrate the power-law modifications are not necessary in the mimetic $F(R)$ case, and by appropriately choosing the mimetic potential and the Lagrange multiplier, it is possible to make the oscillations almost to vanish at the end of the matter domination era and during the late-time acceleration era. We examine the behavior of the dark energy equation of state parameter and of the total effective equation of state parameter as functions of the redshift and we compare the resulting picture with the ordinary $F(R)$ gravity case. As we also show, the present day values of the dark energy equation of state parameter and of the total effective equation of state parameter are in better agreement with the observational data, in comparison to the ordinary $F(R)$ gravity case. Finally, we study the evolution of the growth factor as a function of the redshift for all the mimetic models we shall use.

PRD accepted

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• Constraining viscous dark energy equation of state in $f(R,L_m)$ gravity
• Thick branes with inner structure in mimetic $f(R)$ gravity
• Primordial Cosmology in Mimetic Born-Infeld Gravity
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Cosmic acceleration with bulk viscosity in an anisotropic $f(R,L_m)$ background
• Topological black holes in mimetic gravity
• Structure formation in mimetic gravity
• Direct couplings of mimetic dark matter and their cosmological effects
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Isotropic stellar model in mimetic theory
• Chromopolarizability of charmonium and $\pi \pi$ final state interaction revisited
• Matter production effects and interacting scenario within a reconstructed mimetic cosmology for late times