Anisotropic cosmological solutions in massive vector theories

Abstract

In beyond-generalized Proca theories including the extension to theories higher than second order, we study the role of a spatial component $v$ of a massive vector field on the anisotropic cosmological background. We show that, as in the case of the isotropic cosmological background, there is no additional ghostly degrees of freedom associated with the Ostrogradski instability. In second-order generalized Proca theories we find the existence of anisotropic solutions on which the ratio between the anisotropic expansion rate $\Sigma$ and the isotropic expansion rate $H$ remains nearly constant in the radiation-dominated epoch. In the regime where $\Sigma /H$ is constant, the spatial vector component $v$ works as a dark radiation with the equation of state close to $1/3$. During the matter era, the ratio $\Sigma /H$ decreases with the decrease of $v$. As long as the conditions $|\Sigma |\ll H$ and $v^2\ll {\varphi }^2$ are satisfied around the onset of late-time cosmic acceleration, where $\varphi$ is the temporal vector component, we find that the solutions approach the isotropic de Sitter fixed point ($\Sigma =0=v$) in accordance with the cosmic no-hair conjecture. In the presence of $v$ and $\Sigma$ the early evolution of the dark energy equation of state $w_{\mathrm{DE}}$ in the radiation era is different from that in the isotropic case, but the approach to the isotropic value $w_{\mathrm{DE}}^{(\mathrm{iso})}$ typically occurs at redshifts $z$ much larger than 1. Thus, apart from the existence of dark radiation, the anisotropic cosmological dynamics at low redshifts is similar to that in isotropic generalized Proca theories. In beyond-generalized Proca theories the only consistent solution to avoid the divergence of a determinant of the dynamical system corresponds to $v=0$, so $\Sigma$ always decreases in time.

arXiv comment20 pages, 4 figures

References in corpus (83)

• 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
• Modified Gravity and Cosmology
• Cosmological parameters from SDSS and WMAP
• Cosmological Imprint of an Energy Component with General Equation of State
• Cosmology and the Fate of Dilatation Symmetry
• The galileon as a local modification of gravity
• Resummation of Massive Gravity
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• 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
• Healthy theories beyond Horndeski
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Structure formation with a self-tuning scalar field
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Exploring gravitational theories beyond Horndeski
• General second order scalar-tensor theory, self tuning, and the Fab Four
• Nonlocal Cosmology
• Inflationary Universe with Anisotropic Hair
• Approaches to Understanding Cosmic Acceleration
• Generalization of the Proca Action
• Gauge Fields and Inflation
• Modified gravity models of dark energy
• Cosmic Acceleration from Abelian Symmetry Breaking
• Cosmology with x-matter
• Derivative self-interactions for a massive vector field
• Cosmic Acceleration and the Helicity-0 Graviton
• The anisotropic power spectrum and bispectrum in the f(phi) F^2 mechanism
• Cosmology of the Galileon from Massive Gravity
• Cosmology in generalized Proca theories
• Nonlocal action for long-distance modifications of gravity theory
• Generalized Proca action for an Abelian vector field
• Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski
• Beyond generalized Proca theories
• A cosmic vector for dark energy
• Astrophysical Probes of the Vainshtein Mechanism: Stars and Galaxies
• Effective gravitational couplings for cosmological perturbations in generalized Proca theories
• Density perturbations in general modified gravitational theories
• Hamiltonian analysis of spatially covariant gravity
• Effective Theory of Interacting Dark Energy
• A non-local theory of massive gravity
• Spacetimes with vector distortion: Inflation from generalised Weyl geometry
• Effective Nonlocal Euclidean Gravity
• Counting the degrees of freedom of generalized Galileons
• Screening fifth forces in generalized Proca theories
• Hamiltonian structure of scalar-tensor theories beyond Horndeski
• Cosmological electromagnetic fields and dark energy
• Stability of Horndeski vector-tensor interactions
• Black Holes and Abelian Symmetry Breaking
• Non-local massive gravity
• On the 4D generalized Proca action for an Abelian vector field
• 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
• Effective field theory of modified gravity with two scalar fields: dark energy and dark matter
• Cosmological evolution in vector-tensor theories of gravity
• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• Observational signatures of anisotropic inflationary models
• Cosmological constraints on extended Galileon models
• Challenges for Kinetic Unified Dark Matter
• Effective field theory approach to modified gravity including Horndeski theory and Hořava-Lifshitz gravity
• Cosmology for quadratic gravity in generalized Weyl geometry
• Covariantised Vector Galileons
• Galilean Creation of the Inflationary Universe
• Cosmology in generalized Horndeski theories with second-order equations of motion
• Cosmologies in Horndeski's second-order vector-tensor theory
• On the stability and causality of scalar-vector theories
• Nature of singularities in anisotropic string cosmology
• Observational signatures of the theories beyond Horndeski
• Effective field theory of modified gravity on the spherically symmetric background: leading order dynamics and the odd-type perturbations
• On p-form theories with gauge invariant second order field equations
• Cosmology with a successful Vainshtein screening in theories beyond Horndeski
• The role of vector fields in modified gravity scenarios
• The Nature of Singularity in Bianchi I Cosmological String Gravity Model with Second Order Curvature Corrections
• Existence and disappearance of conical singularities in Gleyzes-Langlois-Piazza-Vernizzi theories
• Conical singularities and the Vainshtein screening in full GLPV theories

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