Higher Derivative Mimetic Gravity

Abstract

We study cosmological perturbations in mimetic gravity in the presence of classified higher derivative terms which can make the mimetic perturbations stable. We show that the quadratic higher derivative terms which are independent of curvature and the cubic higher derivative terms which come from curvature corrections are sufficient to remove instabilities in mimetic perturbations. The advantage of working with the classified higher derivative terms is that we can control both the background and the perturbation equations allowing us to construct the higher derivative extension of mimetic dark matter and the mimetic nonsingular bouncing scenarios. The latter can be thought as a new higher derivative effective action for the loop quantum cosmology scenario in which the equations of motion coincide with those suggested by loop quantum cosmology. We investigate a possible connection between the mimetic cosmology and the Randall-Sundrum cosmology.

33 pages, references added, JCAP published version

References in corpus (19)

• Covariant Galileon
• Healthy theories beyond Horndeski
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Cosmology with Mimetic Matter
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Dynamical behavior in mimetic F(R) gravity
• Extended mimetic gravity: Hamiltonian analysis and gradient instabilities
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
• Imperfect Dark Matter
• Cosmological perturbations in mimetic matter model
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• New Modified Mimetic Gravity
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Gravitational focusing of Imperfect Dark Matter
• Higher order derivative coupling to gravity and its cosmological implications
• Cosmology of a Lorentz violating Galileon theory
• Effective Actions from Loop Quantum Cosmology: Correspondence with Higher Curvature Gravity
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity