The two faces of mimetic Horndeski gravity: disformal transformations and Lagrange multiplier
arXiv:1506.08575 · doi:10.1088/1475-7516/2015/09/051
Abstract
We show that very general scalar-tensor theories of gravity (including, e.g., Horndeski models) are generically invariant under disformal transformations. However there is a special subset, when the transformation is not invertible, that yields new equations of motion which are a generalization of the so-called "mimetic" dark matter theory recently introduced by Chamsedinne and Mukhanov. These conclusions hold true irrespective of whether the scalar field in the action of the assumed scalar-tensor theory of gravity is the same or different than the scalar field involved in the transformation. The new equations of motion for our general mimetic theory can also be derived from an action containing an additional Lagrange multiplier field. The general mimetic scalar-tensor theory has the same number of derivatives in the equations of motion as the original scalar-tensor theory. As an application we show that the simplest mimetic scalar-tensor model is able to mimic the cosmological background of a flat FLRW model with a barotropic perfect fluid with any constant equation of state.
v1: 14 pages, 1 figure; v2: minor changes and references added, replaced to match published version
References in corpus (14)
- Healthy theories beyond Horndeski
- Exploring gravitational theories beyond Horndeski
- Modified gravity models of dark energy
- Cosmology with Mimetic Matter
- Dark Matter: A Primer
- Unifying framework for scalar-tensor theories of gravity
- Resilience of the standard predictions for primordial tensor modes
- Disformal Transformations, Veiled General Relativity and Mimetic Gravity
- Imperfect Dark Matter
- Disformal transformation of cosmological perturbations
- Modified Dust and the Small Scale Crisis in CDM
- Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories
- Multi-disformal invariance of nonlinear primordial perturbations
- Cosmology of a Lorentz violating Galileon theory
Cited by in corpus (76)
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A
- Horndeski theory and beyond: a review
- Tale of stable interacting dark energy, observational signatures, and the tension
- Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
- Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
- Hamiltonian analysis of higher derivative scalar-tensor theories
- Cosmological dynamics of mimetic gravity
- Selected topics in scalar-tensor theories and beyond
- Alive and well: mimetic gravity and a higher-order extension in light of GW170817
- Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
- Recovering a MOND-like acceleration law in mimetic gravity
- Mimetic gravity as DHOST theories
- Instabilities in Mimetic Matter Perturbations
- Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity
- On (in)stabilities of perturbations in mimetic models with higher derivatives
- General invertible transformation and physical degrees of freedom
- Higher Derivative Mimetic Gravity
- Living with ghosts in Horava-Lifshitz gravity
- Healthy imperfect dark matter from effective theory of mimetic cosmological perturbations
- Effective loop quantum cosmology as a higher-derivative scalar-tensor theory
- Event Horizon Telescope observations exclude compact objects in baseline mimetic gravity
- Cosmological perturbations in mimetic Horndeski gravity
- Mimetic Black Holes
- Spatially covariant gravity with velocity of the lapse function: the Hamiltonian analysis
- A note on a mimetic scalar-tensor cosmological model
- Hamiltonian analysis of mimetic scalar gravity revisited
- Disformal invariance of curvature perturbation
- Black hole solutions in mimetic Born-Infeld gravity
- Gauge Field Mimetic Cosmology
- Spatially covariant theories of gravity: disformal transformation, cosmological perturbations and the Einstein frame
- Two-field disformal transformation and mimetic cosmology
- Field redefinitions in theories beyond Einstein gravity using the language of differential forms
- Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
- Thick branes with inner structure in mimetic gravity
- Gravitational focusing of Imperfect Dark Matter
- Spatially covariant gravity: Perturbative analysis and field transformations
- Forms of action for perfect fluid in General Relativity and mimetic gravity
- Extended disformal approach in the scenario of Rainbow Gravity
- Alleviating tension in scalar-tensor and bi-scalar-tensor theories
- Two-field mimetic gravity revisited and Hamiltonian analysis
- Disforming to Conformal Symmetry
- Gravity in mimetic scalar-tensor theories after GW170817
- Ostrogradsky mode in scalar-tensor theories with higher-order derivative couplings to matter
- Large-scale structure in mimetic Horndeski gravity
- Towards a viable effective field theory of mimetic gravity
- Spatially covariant gravity with a dynamic lapse function
- Mimetic DBI Inflation in Confrontation with Planck2018 data
- A generalized Weyl structure with arbitrary non-metricity
- New Dynamical Degrees of Freedom from Invertible Transformations
- Direct couplings of mimetic dark matter and their cosmological effects
- Reconstructing Mimetic Cosmology
- Non-Gaussianity in multi-sound-speed disformally coupled inflation
- Hamiltonian analysis of Mimetic gravity with higher derivatives
- Emergent scenario in mimetic gravity
- The geometry of null-like disformal transformations
- Can Dark Matter be Geometry? A Case Study with Mimetic Dark Matter
- Conformal and kinetic couplings as two Jordan frames of the same theory
- Dwarf Galaxies without Dark Matter: constraints on Modified Gravity
- Tachyon Mimetic Inflation as an Instabilities-Free Model
- A note on non singular Einstein-Aether cosmologies
- Isotropic stellar model in mimetic theory
- Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
- Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
- An issue with the classification of the scalar-tensor theories of gravity
- Extensions of two-field mimetic gravity
- Disformal invariance of continuous media with linear equation of state
- Extending the symmetry of the massless Klein-Gordon equation under the general disformal transformation
- Space and time ambiguities in vacuum electrodynamics
- Non-linear Phenomenology of Disformally Coupled Quintessence
- Energy-momentum pseudotensor and superpotential for generally covariant theories of gravity of general form
- From disformal electrodynamics to exotic spacetime singularities
- On the hypotheses of Penrose's singularity theorem under disformal transformations
- Viable Intermediate Inflation in the Mimetic DBI Model
- Mimetic Tensor-Vector-Scalar Cosmology: Incorporating Dark Matter, Dark Energy and Stiff Matter
- Noether currents in theories with higher derivatives and theories with differential field transformation in action (DFTA)