Scalar-tensor cosmologies with dust matter in the general relativity limit

Abstract

We consider flat Friedmann-Lema\^ıtre-Robertson-Walker cosmological models in the framework of general scalar-tensor theories of gravity with arbitrary coupling functions, set in the Jordan frame, in the cosmological epoch when the energy density of the ordinary dust matter dominates over the energy density of the scalar potential. Motivated by cosmological observations, we apply an approximation scheme in the regime close to the so-called limit of general relativity. The ensuing nonlinear approximate equations for the scalar field and the Hubble parameter can be solved analytically in cosmological time. This allows us to distinguish the theories with solutions that asymptotically converge to general relativity and draw some implications about the cosmological dynamics near this limit.

15 pages

References in corpus (29)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Confrontation between General Relativity and Experiment
• Dark Energy and the Accelerating Universe
• Modified gravity models of dark energy
• On the way from matter-dominated era to dark energy universe
• Cosmological dynamics of Scalar--Tensor Gravity
• The Constancy of the Constants of Nature: Updates
• The growth of matter perturbations in some scalar-tensor DE models
• Non-minimal quintessence and phantom with nearly flat potentials
• Extended Quintessence with non-minimally coupled phantom scalar field
• Fitting the Constitution SNIa Data with Redshift Binned Parameterization Method
• Oscillations in the dark energy EoS: new MCMC lessons
• Non-minimally coupled scalar field cosmology on the phase plane
• Scalar-tensor cosmologies: fixed points of the Jordan frame scalar field
• Potential dominated scalar-tensor cosmologies in the general relativity limit: phase space view
• Exact cosmological solution of a Scalar-Tensor Gravity theory compatible with the $\Lambda CDM$ model
• The dynamical viability of scalar-tensor gravity theories
• Uniting cosmological epochs through the twister solution in cosmology with non-minimal coupling
• Scalar-tensor cosmologies with a potential in the general relativity limit: time evolution
• Constraining the Variation of G by Cosmic Microwave Background Anisotropies
• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
• Some Late-time Asymptotics of General Scalar-Tensor Cosmologies
• The dynamics of scalar-tensor cosmology from RS two-brane model
• Scalar-tensor cosmologies: general relativity as a fixed point of the Jordan frame scalar field
• Parametrization for the Scale Dependent Growth in Modified Gravity
• Probing the cosmic acceleration history and the properties of dark energy from the ESSENCE supernova data with a model independent method
• Constraints on scalar-tensor theories of gravity from observations
• Is the present cosmic expansion decelerating?

Cited by in corpus (14)

• Extended $f(R,L_m)$ gravity with generalized scalar field and kinetic term dependences
• Late-time cosmology of scalar-tensor theories with universal multiplicative coupling between the scalar field and the matter Lagrangian
• General relativity as an attractor for scalar-torsion cosmology
• Transformation properties and general relativity regime in scalar-tensor theories
• Intrinsic Solar System decoupling of a scalar-tensor theory with a universal coupling between the scalar field and the matter Lagrangian
• Post-Newtonian parameters and cosmological constant of screened modified gravity
• Exploring the stability of $f(Q)$ cosmology near general relativity limit with different connections
• Galaxy clusters and a possible variation of the fine structure constant
• Galaxy cluster Sunyaev-Zel'dovich effect scaling-relation and type Ia supernova observations as a test for the cosmic distance duality relation
• Stability of symmetric teleparallel scalar-tensor cosmologies with alternative connections
• On dilatons with intrinsic decouplings
• Cosmological dynamics and bifurcation analysis of the general non-minimally coupled scalar field models
• Oscillating scalar fields in extended quintessence
• From inflation to dark energy in scalar-tensor cosmology