Imperfect Dark Matter

Abstract

We consider cosmology of the recently introduced mimetic matter with higher derivatives (HD). Without HD this system describes irrotational dust - Dark Matter (DM) as we see it on cosmologically large scales. DM particles correspond to the shift-charges - Noether charges of the shifts in the field space. Higher derivative corrections usually describe a deviation from the thermodynamical equilibrium in the relativistic hydrodynamics. Thus we show that mimetic matter with HD corresponds to an imperfect DM which: i) renormalises the Newton's constant in the Friedmann equations, ii) has zero pressure when there is no extra matter in the universe, iii) survives the inflationary expansion which puts the system on a dynamical attractor with a vanishing shift-charge, iv) perfectly tracks any external matter on this attractor, v) can become the main (and possibly the only) source of DM, provided the shift-symmetry in the HD terms is broken during some small time interval in the radiation domination era. In the second part of the paper we present a hydrodynamical description of general anisotropic and inhomogeneous configurations of the system. This imperfect mimetic fluid has an energy flow in the field's rest frame. We find that in the Eckart and in the Landau-Lifshitz frames the mimetic fluid possesses nonvanishing vorticity appearing already at the first order in the HD. Thus, the structure formation and gravitational collapse should proceed in a rather different fashion from the simple irrotational DM models.

updated refs, corrected typos, expanded discussion on the Eckart frame, matches the published version

References in corpus (59)

• Quantum Gravity at a Lifshitz Point
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• k-Inflation
• Essentials of k-essence
• Cold and Fuzzy Dark Matter
• Relativistic gravitation theory for the MOND paradigm
• Sterile Neutrinos as Dark Matter
• Gravity with a dynamical preferred frame
• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• The $\nu$MSM, Dark Matter and Neutrino Masses
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Supersymmetric Q-balls as dark matter
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Hunting for topological dark matter with atomic clocks
• The Relation between Physical and Gravitational Geometry
• Dust as a Standard of Space and Time in Canonical Quantum Gravity
• Action functionals for relativistic perfect fluids
• k-Essence, superluminal propagation, causality and emergent geometry
• The end of unified dark matter?
• Fluid Dark Matter
• Relativistic Fluid Dynamics: Physics for Many Different Scales
• Mimetic Dark Matter
• Modifying gravity with the Aether: an alternative to Dark Matter
• On the Extra Mode and Inconsistency of Horava Gravity
• Mirror dark matter: Cosmology, galaxy structure and direct detection
• Anisotropic stress as signature of non-standard propagation of gravitational waves
• Cosmology with Mimetic Matter
• Dust of Dark Energy
• Is the Dark Matter a Solid?
• Dark matter as integration constant in Horava-Lifshitz gravity
• The Imperfect Fluid behind Kinetic Gravity Braiding
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• On the recently proposed Mimetic Dark Matter
• Q-ball candidates for self-interacting dark matter
• Haloes of k-Essence
• Macro Dark Matter
• Higher derivative theories with constraints : Exorcising Ostrogradski's Ghost
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Caustics in Tachyon Matter and Other Born-Infeld Scalars
• The response of primordial abundances to a general modification of $G_{\mathrm{N}}$ and/or of the early universe expansion rate
• Topological Dark Matter
• Caustic avoidance in Horava-Lifshitz gravity
• An Alternative to Particle Dark Matter
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
• Dark matter as a ghost free conformal extension of Einstein theory
• Dynamics of Gravity in a Higgs Phase
• Next decade of sterile neutrino studies
• Hidden Negative Energies in Strongly Accelerated Universes
• Searches for topological defect dark matter via non-gravitational signatures
• An introduction to relativistic hydrodynamics
• Quanta of Geometry: Noncommutative Aspects
• Stellar center is dynamical in Horava-Lifshitz gravity
• Modified Dust and the Small Scale Crisis in CDM
• The case for primordial black holes as dark matter
• Dark Matter via Many Copies of the Standard Model
• Seeding supermassive black holes with a non-vortical dark-matter subcomponent
• Big Bang Nucleosynthesis Constraints on the Self-Gravity of Pressure
• How does pressure gravitate? Cosmological constant problem confronts observational cosmology

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