Anisotropic Scalar Field Dark Energy with a Disformally Coupled Yang-Mills Field

Abstract

In the context of scalar-tensor theories, the inclusion of new degrees of freedom coupled non-minimally to the gravitational sector might produce some appealing effects on the cosmic expansion history. We investigate this premise by including a canonical SU(2) Yang- Mills field to the total energy budget of the universe coupled to the standard quintessential field by a disformal transformation. From the dynamical system analysis, we study three cases of cosmological interest that span most of the physical phase space of the model: the uncoupled limit, the isotropic, and the Abelian cases. New scaling solutions with a non-vanishing gauge field are found in all cases which can be interesting for early cosmological scenarios. Some of these scaling solutions even exhibit anisotropic features. Also, the background evolution of the universe is studied by means of numerical analysis. As an interesting result, the disformal coupling changes the equation of state of the gauge field from radiation to matter at some stages of the evolution of the universe, thereby the gauge field can contribute to some fraction of the total dark matter. We have also quantified the redshift-dependent contribution of the gauge field in the form of dark radiation during the radiation era to the effective number of relativistic species. This depends essentially on the initial conditions and, more importantly, on the disformal coupling function.

arXiv commentLaTeX file in jcappub style, 40 pages, 11 figures. v2: some cosmetic changes and new references added. v3 and v4: more changes to add clarity to the paper and new material added. Conclusions unchanged. v5: version to appear in International Journal of Modern Physics D

References in corpus (124)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Cosmology and the Fate of Dilatation Symmetry
• Resummation of Massive Gravity
• Coupled Quintessence
• A History of Dark Matter
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Generalization of the Fierz-Pauli Action
• Gravity with a dynamical preferred frame
• The trouble with $H_0$
• Scaling solutions in general non-minimal coupling theories
• Horndeski theory and beyond: a review
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• The Relation between Physical and Gravitational Geometry
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Exploring gravitational theories beyond Horndeski
• Inflationary Universe with Anisotropic Hair
• Probing the Coupling between Dark Components of the Universe
• Generalization of the Proca Action
• A systematic approach to generalisations of General Relativity and their cosmological implications
• Gauge Fields and Inflation
• Imprints of a Primordial Preferred Direction on the Microwave Background
• Vector Inflation
• Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
• A Lower Growth Rate from Recent Redshift Space Distortion Measurements than Expected from Planck
• Could dark energy be vector-like?
• Cosmic Acceleration from Abelian Symmetry Breaking
• Disformal invariance of second order tensor-scalar theories: framing the Horndeski action
• Linear and non-linear perturbations in dark energy models
• Derivative self-interactions for a massive vector field
• The BAO+BBN take on the Hubble tension
• Parametric Resonance Production of Ultralight Vector Dark Matter
• Coupled and Extended Quintessence: theoretical differences and structure formation
• Cosmology in generalized Proca theories
• Cosmology with massive neutrinos coupled to dark energy
• Statistical Anisotropy from Anisotropic Inflation
• How isotropic is the Universe?
• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• Generalized Proca action for an Abelian vector field
• Dark Interactions and Cosmological Fine-Tuning
• A formal introduction to Horndeski and Galileon theories and their generalizations
• Models of coupled dark matter to dark energy
• Accelerating Cosmologies with an Anisotropic Equation of State
• Anisotropic Dark Energy: Dynamics of Background and Perturbations
• Can a vector field be responsible for the curvature perturbation in the Universe?
• Growth of perturbations in dark matter coupled with quintessence
• Cosmology of Mass-Varying Neutrinos Driven by Quintessence: Theory and Observations
• Beyond generalized Proca theories
• DBI Galileons in the Einstein Frame: Local Gravity and Cosmology
• Coupled quintessence and the coincidence problem
• Anisotropic Inflation from Vector Impurity
• Statistical anisotropy of the curvature perturbation from vector field perturbations
• Effective gravitational couplings for cosmological perturbations in generalized Proca theories
• Vector theories in cosmology
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• Extended vector-tensor theories
• Testing the Isotropy of the Universe with Type Ia Supernovae
• Non-Gaussianity and statistical anisotropy from vector field populated inflationary models
• Disformal Inflation
• Interacting radiation after Planck and its implications for the Hubble Tension
• Vector Curvaton with varying Kinetic Function
• Cosmology of a Scalar Field Coupled to Matter and an Isotropy-Violating Maxwell Field
• Disformal Scalar Fields and the Dark Sector of the Universe
• Disformal couplings and the dark sector of the universe
• Revisiting Cosmic No-Hair Theorem for Inflationary Settings
• Screening fifth forces in generalized Proca theories
• Anisotropic non-Gaussianity from vector field perturbations
• On the 4D generalized Proca action for an Abelian vector field
• Equivalent Neutrinos, Light WIMPs, and the Chimera of Dark Radiation
• Gauge-flation confronted with Planck
• Chameleon dark energy models with characteristic signatures
• Gauge-flation and Cosmic No-Hair Conjecture
• Generalized SU(2) Proca Theory
• Constraints on Disformal Couplings from the Properties of the Cosmic Microwave Background Radiation
• Anisotropic Inflation with Non-Abelian Gauge Kinetic Function
• Scalar-Vector-Tensor Gravity Theories
• Generalized multi-Proca fields
• Anisotropic dark energy and CMB anomalies
• Dark D-brane Cosmology
• Late universe dynamics with scale-independent linear couplings in the dark sector
• Stable solutions of inflation driven by vector fields
• Distinguishing between Neutrinos and time-varying Dark Energy through Cosmic Time
• Constraints on the anisotropy of dark energy
• Testing the isotropy of the Universe with type Ia supernovae in a model-independent way
• Dark Sector Equilibration During Nucleosynthesis
• On the stability and causality of scalar-vector theories
• Cosmology in scalar-vector-tensor theories
• Assisted coupled quintessence
• Dynamical analysis of cosmological models with non-Abelian gauge vector fields
• Generalized dark energy interactions with multiple fluids
• Non-Abelian $S$-term dark energy and inflation
• Probing cosmological fields with gravitational wave oscillations
• Scalar and vector Galileons
• Dark energy as a fixed point of the Einstein Yang-Mills Higgs Equations
• Generalized SU(2) Proca theory reconstructed and beyond
• Einstein Yang-Mills Higgs dark energy revisited
• Anisotropic Einstein Yang-Mills Higgs Dark Energy
• A systematic procedure to build the beyond generalized Proca field theory
• Massive Gauge-flation
• Conformally Coupled Tachyonic Dark Energy
• The different varieties of the Suyama-Yamaguchi consistency relation and its violation as a signal of statistical inhomogeneity
• Disformal quintessence
• Coupled Multi-Proca Vector Dark Energy
• Constant-roll inflation in the generalized SU(2) Proca theory
• Coupled vector dark energy
• Disformally coupled inflation
• Anisotropic solid dark energy
• Gaugessence: a dark energy model with early time radiation-like equation of state
• Generalized Proca and its Constraint Algebra
• Disformal vectors and anisotropies on a warped brane
• Disformal scalars as dark matter candidates: Branon phenomenology
• Disformally Coupled Quintessence
• Stability Conditions in the Generalized SU(2) Proca Theory
• Vector disformal transformation of cosmological perturbations
• Arbitrarily coupled $p-$forms in cosmological backgrounds
• Dark D-Brane Cosmology: from background evolution to cosmological perturbations
• Matters on a moving brane
• Towards the extended SU(2) Proca theory
• Doubly-boosted vector cosmologies from disformal metrics
• Stable cosmological solutions in degenerate theory of gravity
• Early dark energy constraints on growing neutrino quintessence cosmologies
• The Ellipsoidal Universe and the Hubble tension
• $p$-form quintessence: exploring dark energy of $p-$forms coupled to a scalar field
• Branon Phenomenology

Cited by in corpus (8)

• Anisotropic $k$-essence
• Structure formation in an anisotropic universe: Eulerian perturbation theory
• Conformally and Disformally Coupled Vector field Models of Dark Energy
• Anisotropic power-law inflation for models of non-canonical scalar fields non-minimally coupled to a two-form field
• Dynamical Shortcomings in the Generalized SU(2) Proca Theory: Challenges for Cosmic Acceleration
• Vector dark radiation and gravitational-wave polarization
• Horndeski in motion
• An effective fluid description of scalar-vector-tensor theories under the sub-horizon and quasi-static approximations