Dark energy in scalar-vector-tensor theories

Abstract

The scalar-vector-tensor theories with second-order equations of motion can accommodate both Horndeski and generalized Proca theories as specific cases. In the presence of a perfect fluid, we study the cosmology in such a most general scheme of scalar-vector-tensor theories with parity invariance by paying particular attention to the application to dark energy. We obtain a closed-form expression of the background equations of motion by using coefficients appearing in the second-order action of scalar perturbations. We also derive conditions for the absence of ghost and Laplacian instabilities of tensor and vector perturbations and show that the existence of matter does not substantially modify the stabilities of dynamical degrees of freedom in the small-scale limit. On the other hand, the sound speed of scalar perturbations is affected by the presence of matter. Employing the quasi-static approximation for scalar perturbations deep inside the sound horizon, we derive analytic expressions of Newtonian and weak lensing gravitational potentials as well as two scalar perturbations arising from the scalar and vector fields. We apply our general framework to dark energy theories with the tensor propagation speed equivalent to the speed of light and show that the observables associated with the growth of matter perturbations and weak lensing potentials are generally affected by intrinsic vector modes and by interactions between scalar and vector fields.

25 pages, published version

References in corpus (37)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Dynamics of dark energy
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Cosmology and the Fate of Dilatation Symmetry
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Disappearing cosmological constant in f(R) gravity
• Beyond the Cosmological Standard Model
• Covariant Galileon
• Dark Energy after GW170817: dead ends and the road ahead
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Dark Energy after GW170817 and GRB170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Measuring the dark side (with weak lensing)
• Approaches to Understanding Cosmic Acceleration
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• Observables and unobservables in dark energy cosmologies
• Bi-galileon theory I: motivation and formulation
• The fate of large-scale structure in modified gravity after GW170817 and GRB170817A
• Self-accelerating universe in scalar-tensor theories after GW170817
• Cosmology of the proxy theory to massive gravity
• No Slip Gravity
• A small cosmological constant from Abelian symmetry breaking
• Large-scale structure phenomenology of viable Horndeski theories
• Scalar-Vector-Tensor Gravity Theories
• Speed of gravitational waves and black hole hair
• Dark energy scenario consistent with GW170817 in theories beyond Horndeski gravity
• Updated observational constraints on quintessence dark energy models
• Cosmology in scalar-vector-tensor theories
• Hairy black hole solutions in $U(1)$ gauge-invariant scalar-vector-tensor theories
• Suppression of matter couplings with a vector field in generalized Proca theories
• Odd-parity stability of hairy black holes in $U(1)$ gauge-invariant scalar-vector-tensor theories
• On the Scalar-Vector-Tensor Gravity: Black Hole, Thermodynamics and Geometrothermodynamics

Cited by in corpus (16)

• Scalar-field dark energy nonminimally and kinetically coupled to dark matter
• New class of Proca interactions
• Black hole perturbations in Maxwell-Horndeski theories
• Cosmic acceleration and de Sitter expansion in hybrid mass varying neutrino model
• Gauge-ready formulation of cosmological perturbations in scalar-vector-tensor theories
• Positivity bounds in vector theories
• Inflation driven by massive vector fields with derivative self-interactions
• Loss of hyperbolicity and tachyons in generalized Proca theories
• To Half--Be or Not To Be?
• On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories
• Realizing the phantom-divide crossing with vector and scalar fields
• Inflation with mixed helicities and its observational imprint on CMB
• Inflation in a scalar-vector-tensor theory
• Particle physics processes in cosmology through an effective Minkowski space formulation and the limitations of the method
• Mimetic Tensor-Vector-Scalar Cosmology: Incorporating Dark Matter, Dark Energy and Stiff Matter
• An effective fluid description of scalar-vector-tensor theories under the sub-horizon and quasi-static approximations