Disformal vectors and anisotropies on a warped brane

Abstract

The Maxwell action is conformally invariant and classically ignorant of conformally flat metrics. However, if the vector lives in a disformal metric--- as it does if residing upon a moving brane---this is no longer true. The disformal coupling is then mediated by a Dirac-Born-Infeld scalar field. Here a systematic dynamical system analysis is developed for anisotropic Bianchi I cosmology with a massive disformally coupled vector field. Several new fixed points are found, including anisotropic scaling solutions. The presented formalism here presented can be conveniently applied to general scenarios with or without extra dimensional motivations. This is illustrated here by performing a complete analysis with simple assumption that both the potentials and the warp factor for the brane are (nearly) exponential. In that case, the anisotropic fixed points are either not attractors, do not describe accelerating expansion or else they feature too large anisotropies to be compatible with observations. Nonetheless, viable classes of models exist where isotropy is retained due to rapid oscillations of the vector field, thus providing a possible realisation of disformally interacting massive dark matter.

arXiv comment13 pages -- 4 numerical examples, v2 corrects a mistake in the equations; the conclusions are essentially unchanged

References in corpus (57)

• Planck 2013 results. XVI. Cosmological parameters
• Inflationary Universe with Anisotropic Hair
• Vector Inflation
• Vector Field Models of Inflation and Dark Energy
• Could dark energy be vector-like?
• New varying speed of light theories
• Theory of cosmological perturbations in an anisotropic universe
• Bianchi type III models with anisotropic dark energy
• Screening Modifications of Gravity through Disformally Coupled Fields
• The Tensor-Vector-Scalar theory and its cosmology
• Predictions from an anisotropic inflationary era
• Inflationary perturbations in anisotropic backgrounds and their imprint on the CMB
• 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?
• Instability of the ACW model, and problems with massive vectors during inflation
• Anisotropic Inflation from Vector Impurity
• Statistical anisotropy of the curvature perturbation from vector field perturbations
• Vector theories in cosmology
• Inflation from N-Forms and its stability
• Inflation and dark energy from three-forms
• Extended Gauss-Bonnet gravities in Weyl geometry
• P-nflation: generating cosmic Inflation with p-forms
• Vector Curvaton with varying Kinetic Function
• Cosmology of a Scalar Field Coupled to Matter and an Isotropy-Violating Maxwell Field
• Vector Curvaton without Instabilities
• Stability of Horndeski vector-tensor interactions
• Anisotropic non-Gaussianity from vector field perturbations
• Inflation with stable anisotropic hair: is it cosmologically viable?
• Three-form cosmology
• Cosmological perturbations from vector inflation
• Dynamics of dark energy models and centre manifolds
• Isotropy theorem for cosmological vector fields
• Cosmological Tests of the Disformal Coupling to Radiation
• Multi-field DBI inflation: introducing bulk forms and revisiting the gravitational wave constraints
• Constraints on Disformal Couplings from the Properties of the Cosmic Microwave Background Radiation
• Dark D-brane Cosmology
• D-BIonic Screening of Scalar Fields
• Coupled three-form dark energy
• Cosmologies in Horndeski's second-order vector-tensor theory
• Gravitational waves in vector inflation
• Anisotropic Inflation with the non-Vacuum Initial State
• Shining Light on Modifications of Gravity
• Stability of the 3-form field during inflation
• Statistical Anisotropy from Vector Curvaton in D-brane Inflation
• Dynamics of three-form dark energy with dark matter couplings
• Reheating in 3-form inflation
• Curvature Perturbations from a Massive Vector Curvaton
• Inflation in a two 3-form fields scenario
• Three-form inflation and non-Gaussianity
• Disformal invariance of Maxwell's field equations
• On cosmic inflation in vector field theories
• Three-magnetic fields
• Bianchi type II models in the presence of perfect fluid and anisotropic dark energy
• Accelerating anisotropic cosmologies in Brans-Dicke gravity coupled to a mass-varying vector field
• Perturbations and non-Gaussianities in three-form inflationary magnetogenesis
• Matters on a moving brane

Cited by in corpus (18)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• A dynamical system analysis of hybrid metric-Palatini cosmologies
• Disformal Gravity Theories: A Jordan Frame Analysis
• Testing spatial curvature and anisotropic expansion on top of the $\Lambda$CDM model
• Cosmology for quadratic gravity in generalized Weyl geometry
• Screening anisotropy via energy-momentum squared gravity: $\Lambda$CDM model with hidden anisotropy
• Anisotropic massive Brans-Dicke gravity extension of the standard $\Lambda$CDM model
• Cosmological simulations with disformally coupled symmetron fields
• Disformally coupled inflation
• Anisotropic Inflation with Derivative Couplings
• Hemispherical Anomaly from Asymmetric Initial States
• Dark D-Brane Cosmology: from background evolution to cosmological perturbations
• Anisotropic non-Gaussianity from Rotational Symmetry Breaking Excited Initial States
• Anisotropic cosmology and inflation from tilted Bianchi IX model
• Anisotropic Scalar Field Dark Energy with a Disformally Coupled Yang-Mills Field
• Conformally and Disformally Coupled Vector field Models of Dark Energy
• Non-Gaussianity in multi-sound-speed disformally coupled inflation