What $\xi$? Cosmological constraints on the non-minimal coupling constant

Abstract

In dynamical system describing evolution of universe with the flat Friedmann-Robertson-Walker symmetry filled with barotropic dust matter and non-minimally coupled scalar field with a constant potential function an invariant manifold of the de Sitter state is used to obtain exact solutions of the reduced dynamics. Using observational data coming from distant supernovae type Ia, the Hubble function $H(z)$ measurements and information coming from the Alcock-Paczy$\acute{n}$ski test we find cosmological constraints on the non-minimal coupling constant $\xi$ between the scalar curvature and the scalar field. For all investigated models we can exclude negative values of this parameter at the $68\%$ confidence level. We obtain constraints on the non-minimal coupling constant consistent with condition for conformal coupling of the scalar field in higher dimensional theories of gravity.

(v2) 11 pages, 2 figs. published version

References in corpus (22)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• The Standard Model Higgs boson as the inflaton
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Inflation scenario via the Standard Model Higgs boson and LHC
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• Top ten accelerating cosmological models
• Cosmological dynamics of Scalar--Tensor Gravity
• The Standard Model Higgs Boson-Inflaton and Dark Matter
• Extended Quintessence with non-minimally coupled phantom scalar field
• Non-Minimal Inflation after WMAP3
• Bouncing Universes in Scalar-Tensor Gravity Models admitting Negative Potentials
• Non-minimally coupled scalar field cosmology on the phase plane
• The LambdaCDM model on the lead -- a Bayesian cosmological models comparison
• Coupling constant constraints in a nonminimally coupled phantom cosmology
• On the unitarity of linearized General Relativity coupled to matter
• Unitarity bounds on low scale quantum gravity
• Cosmological dynamics with non-minimally coupled scalar field and a constant potential function
• Uniting cosmological epochs through the twister solution in cosmology with non-minimal coupling
• Route to Lambda in conformally coupled phantom cosmology
• Testing and selection of cosmological models with $(1+z{)}^6$ corrections
• Towards generic cosmological evolution without singularity and fundamental symmetry of space-time

Cited by in corpus (20)

• Growth of matter perturbations in non-minimal teleparallel dark energy
• Ricci Reheating
• Cosmological dynamics with non-minimally coupled scalar field and a constant potential function
• Neutron Star Structure in the Presence of Nonminimally Coupled Scalar Fields
• Bouncing Universes in Scalar-Tensor Gravity Around Conformal Invariance
• Classes of non-minimally coupled scalar fields in spatially curved FRW spacetimes
• Phase-space analysis of dark energy models in non-minimally coupled theories of gravity
• Dynamical description of a quintom cosmological model nonminimally coupled with gravity
• Particle decay in expanding Friedmann-Robertson-Walker universes
• The non-minimal coupling constant and the primordial de Sitter state
• The Effect of Non-minimally Coupled Scalar Field on Gravitational Waves from First-order Vacuum Phase Transitions
• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• On symmetry inheritance of nonminimally coupled scalar fields
• A new generic and structurally stable cosmological model without singularity
• Non-Minimal Inflation with a scalar-curvature mixing term $\frac{1}{2}\xi R{\varphi }^2$
• Solutions For Scalar Equations in AdS_4 with Adomian Method and Boundary CFT_3 Duals
• From inflation to dark energy in scalar-tensor cosmology
• Towards generic cosmological evolution without singularity and fundamental symmetry of space-time
• Non-singular Bounce from a Phase transition
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity