Multi-field Mimetic Gravity
arXiv:2108.11666 · doi:10.1103/PhysRevD.105.023529
Abstract
In this paper, we extend the mimetic gravity to the multi-field setup with a curved field space manifold. The multi-field mimetic scenario is realized via the singular limit of the conformal transformation between the auxiliary and the physical metrics. We look for the cosmological implications of the setup where it is shown that at the background level the mimetic energy density mimics the roles of dark matter. At the perturbation level, the scalar field perturbations are decomposed into the tangential and normal components with respect to the background field space trajectory. The adiabatic perturbation tangential to the background trajectory is frozen while the entropy mode perpendicular to the background trajectory propagates with the speed of unity. Whether or not the entropy perturbation is healthy directly depends on the signature of the field-space metric. We perform the full non-linear Hamiltonian analysis of the system with the curved field space manifold and calculate the physical degrees of freedom verifying that the system is free from the Ostrogradsky-type ghost.
arXiv comment23 pages, 11 figures, matches published version
References in corpus (69)
- The Dynamics of General Relativity
- The Effective Field Theory of Inflation
- Adiabatic and entropy perturbations from inflation
- Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
- Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
- Mimetic Dark Matter
- Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
- Cosmology with Mimetic Matter
- Effective theories of single field inflation when heavy fields matter
- On the recently proposed Mimetic Dark Matter
- Static spherically symmetric solutions in mimetic gravity: rotation curves & wormholes
- On the importance of heavy fields during inflation
- Disformal Transformations, Veiled General Relativity and Mimetic Gravity
- Nonsingular Black Hole
- Resolving Cosmological Singularities
- Cosmological dynamics of mimetic gravity
- A covariant approach to general field space metric in multi-field inflation
- Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
- Alive and well: mimetic gravity and a higher-order extension in light of GW170817
- Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
- Dark matter as a ghost free conformal extension of Einstein theory
- Imperfect Dark Matter
- Primordial perturbations from inflation with a hyperbolic field-space
- Cosmological perturbations in mimetic matter model
- Instabilities in Mimetic Matter Perturbations
- Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
- NEC violation in mimetic cosmology revisited
- The inflationary bispectrum with curved field-space
- Hyper non-Gaussianities in inflation with strongly non-geodesic motion
- Multi-field inflation and cosmological perturbations
- Phenomenology in minimal theory of massive gravity
- The Reconstruction of and Mimetic Gravity from Viable Slow-roll Inflation
- On (in)stabilities of perturbations in mimetic models with higher derivatives
- Cumulative effects in inflation with ultra-light entropy modes
- Ghost-Free Gravity with Lagrange Multiplier Constraint
- From neutron stars to quark stars in mimetic gravity
- Higher Derivative Mimetic Gravity
- Revisiting non-Gaussianity in multifield inflation with curved field space
- Unimodular-Mimetic Cosmology
- Healthy imperfect dark matter from effective theory of mimetic cosmological perturbations
- Jeans' Ghost
- Cosmological perturbations in mimetic Horndeski gravity
- Braneworld Mimetic Cosmology
- Mimetic Black Holes
- Modified Dust and the Small Scale Crisis in CDM
- Caustic free completion of pressureless perfect fluid and k-essence
- Hamiltonian analysis of mimetic scalar gravity revisited
- Multi-field dark energy: cosmic acceleration on a steep potential
- Gauge Field Mimetic Cosmology
- Two-field disformal transformation and mimetic cosmology
- Gravitational focusing of Imperfect Dark Matter
- A Cosmological Solution to Mimetic Dark Matter
- Cosmology in Mimetic SU(2) Gauge Theory
- The singularity in mimetic Kantowski-Sachs cosmology
- Cylindrical solutions in Mimetic gravity
- Two-field mimetic gravity revisited and Hamiltonian analysis
- Induced geometry from disformal transformation
- Limiting curvature mimetic gravity for group field theory condensates
- Inflation in mimetic gravity
- Reconstruction of mimetic gravity in a non-singular bouncing universe from quantum gravity
- Gravity in mimetic scalar-tensor theories after GW170817
- Mimetic gravity in -dimensions
- Mimetic Black Strings
- Mimetic Inflation
- Towards a viable effective field theory of mimetic gravity
- Massive mimetic cosmology
- Path integral for multi-field inflation
- Topological black holes in mimetic gravity
- Mimetic DBI Inflation in Confrontation with Planck2018 data