Cosmology in generalized Proca theories

Abstract

We consider a massive vector field with derivative interactions that propagates only the 3 desired polarizations (besides two tensor polarizations from gravity) with second-order equations of motion in curved space-time. The cosmological implications of such generalized Proca theories are investigated for both the background and the linear perturbation by taking into account the Lagrangian up to quintic order. In the presence of a matter fluid with a temporal component of the vector field, we derive the background equations of motion and show the existence of de Sitter solutions relevant to the late-time cosmic acceleration. We also obtain conditions for the absence of ghosts and Laplacian instabilities of tensor, vector, and scalar perturbations in the small-scale limit. Our results are applied to concrete examples of the general functions in the theory, which encompass vector Galileons as a specific case. In such examples, we show that the de Sitter fixed point is always a stable attractor and study viable parameter spaces in which the no-ghost and stability conditions are satisfied during the cosmic expansion history.

23 pages, 7 figures, revised version

References in corpus (85)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2013 results. XVI. Cosmological parameters
• Dynamics of dark energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• 4D Gravity on a Brane in 5D Minkowski Space
• The galileon as a local modification of gravity
• Resummation of Massive Gravity
• Beyond the Cosmological Standard Model
• Generalized G-inflation: Inflation with the most general second-order field equations
• Generalization of the Fierz-Pauli Action
• From k-essence to generalised Galileons
• Covariant Galileon
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• G-inflation: inflation driven by the Galileon field
• Gravity on a Brane in Infinite-Volume Extra Space
• General second order scalar-tensor theory, self tuning, and the Fab Four
• Approaches to Understanding Cosmic Acceleration
• Generalization of the Proca Action
• Galilean Genesis: an alternative to inflation
• Galileon Cosmology
• Cosmology of a covariant Galileon field
• Modified gravity models of dark energy
• Galileon inflation
• Cosmic Acceleration from Abelian Symmetry Breaking
• Conditions for the cosmological viability of the most general scalar-tensor theories and their applications to extended Galileon dark energy models
• Derivative self-interactions for a massive vector field
• Cosmic Acceleration and the Helicity-0 Graviton
• Arbitrary p-form Galileons
• Lower Bound on the Propagation Speed of Gravity from Gravitational Cherenkov Radiation
• Self-Accelerating Universe in Galileon Cosmology
• Cosmology of the Galileon from Massive Gravity
• Generalized Proca action for an Abelian vector field
• Generalized Galileon cosmology
• Symmetries for Galileons and DBI scalars on curved space
• Galileon gravity and its relevance to late time cosmic acceleration
• Observational constraints on Galileon cosmology
• Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity
• Primordial non-Gaussianity from the DBI Galileons
• Matter perturbations in Galileon cosmology
• Density perturbations in general modified gravitational theories
• Modified gravity a la Galileon: Late time cosmic acceleration and observational constraints
• Primordial non-Gaussianities in general modified gravitational models of inflation
• Cosmic expansion and growth histories in Galileon scalar-tensor models of dark energy
• Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity
• General Embedded Brane Effective Field Theories
• N-Body Simulations of DGP and Degravitation Theories
• Extended Gauss-Bonnet gravities in Weyl geometry
• de Sitter Galileon
• Chronology Protection in Galileon Models and Massive Gravity
• Primordial non-Gaussianity from G-inflation
• Generalized Brans-Dicke theories
• Screening fifth forces in generalized Proca theories
• Stability and superluminality of spherical DBI galileon solutions
• Stability of Horndeski vector-tensor interactions
• Laboratory Tests of the Galileon
• The Pseudo-Conformal Universe: Scale Invariance from Spontaneous Breaking of Conformal Symmetry
• Cosmology of the proxy theory to massive gravity
• A no-go theorem for generalized vector Galileons on flat spacetime
• A small cosmological constant from Abelian symmetry breaking
• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• Cosmological constraints on extended Galileon models
• Defrosting in an Emergent Galileon Cosmology
• Phenomenology in minimal theory of massive gravity
• Challenges for Kinetic Unified Dark Matter
• Cosmological perturbations of a perfect fluid and noncommutative variables
• Effective field theory approach to modified gravity including Horndeski theory and Hořava-Lifshitz gravity
• Cosmology for quadratic gravity in generalized Weyl geometry
• Constraints on general second-order scalar-tensor models from gravitational Cherenkov radiation
• Covariantised Vector Galileons
• Cosmology in generalized Horndeski theories with second-order equations of motion
• Conserved cosmological perturbation in Galileon models
• Cosmologies in Horndeski's second-order vector-tensor theory
• Superluminality in DGP
• On the stability and causality of scalar-vector theories
• Enhanced Peculiar Velocities in Brane-Induced Gravity
• On p-form theories with gauge invariant second order field equations
• The role of vector fields in modified gravity scenarios
• Constraining Galileon gravity from observational data with growth rate
• A unifying framework for ghost-free Lorentz-invariant Lagrangian field theories

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• Absence of solid angle deficit singularities in beyond-generalized Proca theories
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• Consistency of Cubic Galileon Cosmology: Model-Independent Bounds from Background Expansion and Perturbative Analyses
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• Phase-space analysis of torsion-coupled dilatonic ghost condensate
• Scrutinizing coupled vector dark energy in light of data
• More about a successful vector-tensor theory of gravitation
• A covariant approach to parameterised cosmological perturbations
• Ultracompact vector stars
• Rotating black holes in valid vector-tensor theories after GW170817
• Galileon-like vector fields
• Realizing the phantom-divide crossing with vector and scalar fields
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• Inflation with mixed helicities and its observational imprint on CMB
• Proca-stinated Cosmology II: Matter, Halo, and Lensing Statistics in the vector Galileon
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