Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics

Abstract

Mimetic gravity is a Weyl-symmetric extension of General Relativity, related to the latter by a singular disformal transformation, wherein the appearance of a dust-like perfect fluid can mimic cold dark matter at a cosmological level. Within this framework, it is possible to provide an unified geometrical explanation for dark matter, the late-time acceleration, and inflation, making it a very attractive theory. In this review, we summarize the main aspects of mimetic gravity, as well as extensions of the minimal formulation of the model. We devote particular focus to the reconstruction technique, which allows the realization of any desired expansionary history of the Universe by an accurate choice of potential, or other functions defined within the theory (as in the case of mimetic $f(R)$ gravity). We briefly discuss cosmological perturbation theory within mimetic gravity. As a case study within which we apply the concepts previously discussed, we study a mimetic Hořava-like theory, of which we explore solutions and cosmological perturbations in detail. Finally, we conclude the review by discussing static spherically symmetric solutions within mimetic gravity, and apply our findings to the problem of galactic rotation curves. Our review provides an introduction to mimetic gravity, as well as a concise but self-contained summary of recent findings, progresses, open questions, and outlooks on future research directions.

68 pages, invited review to appear in Advances in High Energy Physics

References in corpus (126)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The EAGLE project: Simulating the evolution and assembly of galaxies and their environments
• f(R,T) gravity
• Quantum Gravity at a Lifshitz Point
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• A direct empirical proof of the existence of dark matter
• Introducing the Illustris Project: Simulating the coevolution of dark and visible matter in the Universe
• The Standard Model Higgs boson as the inflaton
• Dark Energy and the Accelerating Universe
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Too big to fail? The puzzling darkness of massive Milky Way subhaloes
• Disappearing cosmological constant in f(R) gravity
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Membranes at Quantum Criticality
• Healthy theories beyond Horndeski
• Traversable wormholes: Some simple examples
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Primordial Nucleosynthesis in the Precision Cosmology Era
• Are f(R) dark energy models cosmologically viable ?
• Avoiding Dark Energy with 1/R Modifications of Gravity
• On Born-Infeld Gravity in Weitzenbock spacetime
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Primordial Nucleosynthesis: from precision cosmology to fundamental physics
• Exploring gravitational theories beyond Horndeski
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Horava-Lifshitz Cosmology
• Cores in Dwarf Galaxies from Dark Matter with a Yukawa Potential
• Inflationary cosmology in modified gravity theories
• Strong coupling in Horava gravity
• Solutions to Horava Gravity
• A Critical Review of Classical Bouncing Cosmologies
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• On the Extra Mode and Inconsistency of Horava Gravity
• Galileon Cosmology
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Black holes with non-minimal derivative coupling
• Cosmology of the Lifshitz universe
• Cuscuton: A Causal Field Theory with an Infinite Speed of Sound
• Scale invariance, unimodular gravity and dark energy
• Bimetric MOND gravity
• Cosmology with Mimetic Matter
• FRW Cosmology in F(R,T) gravity
• Resonant Dark Forces and Small Scale Structure
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Dark Matter: A Primer
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• Transverse Fierz-Pauli symmetry
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Evidence for dark energy from the cosmic microwave background alone using the Atacama Cosmology Telescope lensing measurements
• Cascading DGP
• A Trouble with Hořava-Lifshitz Gravity
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Phantom and non-phantom dark energy: The cosmological relevance of non-locally corrected gravity
• Wormholes in a viable f(T) gravity
• Cosmological applications of $F(T,T_G)$ gravity
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Dark energy from modified gravity with Lagrange multipliers
• UV-Protected Inflation
• Dynamical behavior in mimetic F(R) gravity
• Black Holes in Bi-scalar Extensions of Horndeski Theories
• Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
• Cuscuton and low energy limit of Horava-Lifshitz gravity
• Constraining dark energy with cross-correlated CMB and Large Scale Structure data
• On the way from matter-dominated era to dark energy universe
• Scattering, Damping, and Acoustic Oscillations: Simulating the Structure of Dark Matter Halos with Relativistic Force Carriers
• Solution to the ghost problem in fourth order derivative theories
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
• Scalar-Tensor Teleparallel Wormholes by Noether Symmetries
• Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
• Screening of cosmological constant in non-local gravity
• Light dark photon and fermionic dark radiation for the Hubble constant and the structure formation
• Unifying inflation with dark energy in modified F(R) Horava-Lifshitz gravity
• Hamiltonian structure of scalar-tensor theories beyond Horndeski
• $f(T)$ gravitational baryogenesis
• Imperfect Dark Matter
• Cosmological perturbations in mimetic matter model
• Cosmological Perturbations in Unimodular Gravity
• Quanta of Geometry: Noncommutative Aspects
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• New Modified Mimetic Gravity
• Dark Radiation Alleviates Problems with Dark Matter Halos
• Higher dimensional thin-shell wormholes in Einstein-Yang-Mills-Gauss-Bonnet gravity
• Hamiltonian Formulation of Mimetic Gravity
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Matter may matter
• Gravity in 2T-Physics
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Modified Dust and the Small Scale Crisis in CDM
• One-loop Modified Gravity in de Sitter Universe, Quantum Corrected Inflation, and its Confrontation with the Planck Result
• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
• A unified solution to the small scale problems of the $\Lambda$CDM model II: introducing parent-satellite interaction
• Non-Minimal Two-Loop Inflation
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Thermodynamic analysis of topological black holes in Gauss-Bonnet gravity with nonlinear source
• Covariant power-counting renormalizable gravity: Lorentz symmetry breaking and accelerating early-time FRW universe
• d-dimensional non-asymptotically flat thin-shell wormholes in Einstein-Yang-Mills-Dilaton gravity
• Dark Energy and Equation of State Oscillations with Collisional Matter Fluid in Exponential Modified Gravity
• Thermodynamics of Horndeski black holes with non-minimal derivative coupling
• Thermodynamic instability of topological black holes in Gauss-Bonnet gravity with a generalized electrodynamics
• Conformal Invariant Teleparallel Cosmology
• Inflationary Parameters in Renormalization Group Improved ${\varphi }^4$ Theory
• Cosmology of a Lorentz violating Galileon theory
• Covariant Lagrange multiplier constrained higher derivative gravity with scalar projectors
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity
• Black hole and de Sitter solutions in a covariant renormalizable field theory of gravity
• Induced geometry from disformal transformation
• Wormholes leading to extra dimensions
• Flare-out conditions in static thin-shell wormholes
• Quantum Corrected Schwarzschild Thin Shell Wormhole
• 2+1-dimensional traversable wormholes supported by positive energy
• $R^n$ gravity is kicking and alive: the cases of Orion and NGC 3198
• Inflation without self-reproduction in $F(R)$ gravity
• Mutated hybrid inflation in $f(R,\square R)$-gravity
• Hamiltonian Analysis of Lagrange Multiplier Modified Gravity
• 3+1-dimensional thin-shell wormhole with deformed throat can be supported by normal matter
• $k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation

Cited by in corpus (44)

• Horndeski theory and beyond: a review
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Black holes with scalar hair in light of the Event Horizon Telescope
• Do we have any hope of detecting scattering between dark energy and baryons through cosmology?
• Spontaneous growth of vector fields in gravity
• A no-go result for covariance in models of loop quantum gravity
• Late time cosmological approach in mimetic $f(R,T)$ gravity
• Hidden Charged Dark Matter and Chiral Dark Radiation
• Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling
• Group field theory condensate cosmology: An appetizer
• Natural inflation with a nonminimal coupling to gravity
• Cuscuton gravity as a classically stable limiting curvature theory
• Anisotropic compact stars in the mimetic gravitational theory
• Black hole solutions in mimetic Born-Infeld gravity
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Higher order derivative coupling to gravity and its cosmological implications
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Tracing the cosmic history by Gauss-Bonnet gravity
• Spatially covariant gravity: Perturbative analysis and field transformations
• Kinetically coupled dark energy
• Swampland dS conjecture in Mimetic $f(R,T)$ gravity
• Forms of action for perfect fluid in General Relativity and mimetic gravity
• Primordial Cosmology in Mimetic Born-Infeld Gravity
• Imprints of interacting dark energy on cosmological perturbations
• Disforming to Conformal Symmetry
• Reconstruction of mimetic gravity in a non-singular bouncing universe from quantum gravity
• Modifications of gravity via differential transformations of field variables
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Friedmann equations in the Codazzi parametrization of Cotton and extended theories of gravity and the Dark Sector
• Spatially covariant gravity with a dynamic lapse function
• Direct couplings of mimetic dark matter and their cosmological effects
• Bose-Einstein Condensate dark matter models in the presence of baryonic matter and random confining potentials
• Theories with limited extrinsic curvature and a nonsingular anisotropic universe
• Emergent scenario in mimetic gravity
• Inequivalence of mimetic gravity with models of loop quantum gravity
• Isotropic stellar model in mimetic theory
• Dark matter as a gravitational effect in the embedding theory approach
• Mimetic gravity: mimicking the dynamics of the primeval universe in the context of loop quantum cosmology
• Analytical analysis of the origin of core-cusp matter density distributions in galaxies
• Dark Coincidences: Small-Scale Solutions with Refracted Gravity and MOND
• Tidal virialization of dark matter haloes with clustering dark energy
• Refracted Gravity Solutions from Small to Large Scales
• Nontrivial isometric embeddings for flat spaces
• Investigation of Faddeev variant of embedding theory