Cosmology in beyond-generalized Proca theories

Abstract

The beyond-generalized Proca theories are the extension of second-order massive vector-tensor theories (dubbed generalized Proca theories) with two transverse vector modes and one longitudinal scalar besides two tensor polarizations. Even with this extension, the propagating degrees of freedom remain unchanged on the isotropic cosmological background without an Ostrogradski instability. We study the cosmology in beyond-generalized Proca theories by paying particular attention to the dynamics of late-time cosmic acceleration and resulting observational consequences. We derive conditions for avoiding ghosts and instabilities of tensor, vector, and scalar perturbations and discuss viable parameter spaces in concrete models allowing the dark energy equation of state smaller than $-1$. The propagation speeds of those perturbations are subject to modifications beyond the domain of generalized Proca theories. There is a mixing between scalar and matter sound speeds, but such a mixing is suppressed during most of the cosmic expansion history without causing a new instability. On the other hand, we find that derivative interactions arising in beyond-generalized Proca theories give rise to important modifications to the cosmic growth history. The growth rate of matter perturbations can be compatible with the redshift-space distortion data due to the realization of gravitational interaction weaker than that in generalized Proca theories. Thus, it is possible to distinguish the dark energy model in beyond-generalized Proca theories from the counterpart in generalized Proca theories as well as from the $\Lambda$CDM model.

21 pages, 9 figures

References in corpus (29)

• Dynamics of dark energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Beyond the Cosmological Standard Model
• Covariant Galileon
• Healthy theories beyond Horndeski
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Measuring the dark side (with weak lensing)
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• The Clustering of the SDSS Main Galaxy Sample II: Mock galaxy catalogues and a measurement of the growth of structure from Redshift Space Distortions at $z=0.15$
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• A cosmic vector for dark energy
• Matter perturbations in Galileon cosmology
• Density perturbations in general modified gravitational theories
• Measuring the speed of cosmological gravitational waves
• A small cosmological constant from Abelian symmetry breaking
• Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
• Effective field theory of modified gravity with two scalar fields: dark energy and dark matter
• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• Chameleon dark energy models with characteristic signatures
• Cosmology in generalized Horndeski theories with second-order equations of motion
• Static and rotating solutions for Vector-Galileon theories
• Stable solutions of inflation driven by vector fields
• Cosmologies in Horndeski's second-order vector-tensor theory
• Anisotropic cosmological solutions in massive vector theories
• On the stability and causality of scalar-vector theories
• Observational signatures of the theories beyond Horndeski
• Absence of solid angle deficit singularities in beyond-generalized Proca theories

Cited by in corpus (32)

• Testing General Relativity in Cosmology
• Black holes in vector-tensor theories
• Observational constraints on generalized Proca theories
• Relativistic stars in vector-tensor theories
• Speed of gravitational waves and black hole hair
• A general theory of linear cosmological perturbations: stability conditions, the quasistatic limit and dynamics
• New class of Proca interactions
• A systematic procedure to build the beyond generalized Proca field theory
• An exact solution for a rotating black hole in modified gravity
• Black holes in quartic-order beyond-generalized Proca theories
• Constant-roll inflation in the generalized SU(2) Proca theory
• Cosmology of Extended Proca-Nuevo
• Stealth configurations in vector-tensor theories of gravity
• Suppression of matter couplings with a vector field in generalized Proca theories
• The Maxwell-Chern-Simons gravity and its cosmological implications
• Gauge-ready formulation of cosmological perturbations in scalar-vector-tensor theories
• Positivity bounds in vector theories
• Ultraviolet Unitarity Violations in Non-minimally Coupled Scalar-Starobinsky Inflation
• Conformally and Disformally Coupled Vector field Models of Dark Energy
• Gravitational Properties of the Proca Field
• Inflation driven by massive vector fields with derivative self-interactions
• Loss of hyperbolicity and tachyons in generalized Proca theories
• Stable cosmological solutions in degenerate theory of gravity
• To Half--Be or Not To Be?
• Covariant Effective Action for Generalized Proca Theories
• Non-minimal Energy-momentum squared gravity
• A covariant approach to parameterised cosmological perturbations
• Cosmology of a higher derivative scalar theory with non-minimal Maxwell coupling
• Axionic extension of the Proca action
• Effective field theory of coupled dark energy and dark matter
• Cosmology of the non-local Proca theory
• Quantizing a Non-locally Massive 2-form Model