Energy conditions in mimetic-$f(R)$ gravity

Abstract

The energy conditions of mimetic-$f(R)$ gravity theory is analyzed. We will obtain the parameter space of the theory in some special forms of $f(R)$ in which the self-acceleration is allowed. In this sense, the parameter space is obtained in a way that it violates the strong energy condition while satisfying the weak, null and dominant energy conditions. We will also consider the condition that the Dolgov-Kawasaki instability is avoided. This condition will be further imposed in the parameter space of the theory. We will show that the parameter space of the mimetic-$f(R)$ gravity is larger than $f(R)$ gravity theory.

14 pages

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Cited by in corpus (6)

• Instabilities in Mimetic Matter Perturbations
• Higher Derivative Mimetic Gravity
• Braneworld Mimetic Cosmology
• Hamiltonian analysis of mimetic scalar gravity revisited
• Gauge Field Mimetic Cosmology
• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity