Realistic cosmological scenario with non-minimal kinetic coupling

Abstract

We investigate cosmological scenarios in the theory of gravity with the scalar field possessing a non-minimal kinetic coupling to the curvature. It is shown that the kinetic coupling provides an essentially new inflationary mechanism. Namely, at early cosmological times the domination of coupling terms in the field equations guarantees the quasi-De Sitter behavior of the scale factor: $a(t)\propto e^{H_{\kappa }t}$ with $H_{\kappa }=1/\sqrt{9\kappa }$, where $\kappa \simeq 10^{-74}$ sec${}^2$ is the coupling parameter. The primary inflationary epoch driven by non-minimal kinetic coupling comes to the end at $t_f\simeq 10^{-35}$ sec. Later on, the matter terms are dominating, and the universe enters into the matter-dominated epoch which lasts approximately $0.5H_0^{-1}\sim 0.5\times 10^{18}$ sec. Then, the cosmological term comes into play, and the universe enters into the secondary inflationary epoch with $a(t)\propto e^{H_{\Lambda }t}$, where $H_{\Lambda }=\sqrt{\Lambda /3}$. Note that the present value of the acceleration parameter $q=\ddot{a}a/{\dot{a}}^2$ is estimated as $q_0\simeq 0.25$, that is the universe is at the beginning of the epoch of accelerated expansion. Thus, the cosmological model non-minimal kinetic coupling represents the realistic cosmological scenario which successfully describes basic cosmological epochs and provide the natural mechanism of epoch change without any fine-tuned potential.

11 pages, 10 figures, submitted to PRD

References in corpus (70)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Modified Gravity and Cosmology
• Cosmological parameters from SDSS and WMAP
• 4D Gravity on a Brane in 5D Minkowski Space
• The Case for a Positive Cosmological Lambda-term
• Cosmology and the Fate of Dilatation Symmetry
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Kinetically Driven Quintessence
• Observational Probes of Cosmic Acceleration
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• Ghost Condensation and a Consistent Infrared Modification of Gravity
• First-year Sloan Digital Sky Survey-II (SDSS-II) Supernova Results: Hubble Diagram and Cosmological Parameters
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• A classification of scalar field potentials with cosmological scaling solutions
• The Physics of Cosmic Acceleration
• Quantum effects can render w<-1 on cosmological scales
• Scalar-tensor gravity in an accelerating universe
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Extended Quintessence
• Reconstructing the Cosmic Equation of State from Supernova distances
• Approaches to Understanding Cosmic Acceleration
• The Clustering of Luminous Red Galaxies in the Sloan Digital Sky Survey Imaging Data
• Nonminimal coupling and quintessence
• Quintessence, the Gravitational Constant, and Gravity
• Scalar-Tensor Gravity and Quintessence
• Inflation and quintessence with nonminimal coupling
• Exact cosmological solutions with nonminimal derivative coupling
• Cosmology with Nonminimal Derivative Couplings
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Quintessence and phantom cosmology with non-minimal derivative coupling
• The Baryonic Acoustic Feature and Large-Scale Clustering in the SDSS LRG Sample
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• Categorizing Different Approaches to the Cosmological Constant Problem
• Late time acceleration in Brans Dicke Cosmology
• Does Inflationary Particle Production suggest Omega_m < 1?
• Parametrizations of the Dark Energy Density and Scalar Potentials
• Nonminimal Derivative Couplings and Inflation in Generalized Theories of Gravity
• Nonminimal Derivative Coupling and the Recovering of Cosmological Constant
• Dark energy from a quintessence (phantom) field rolling near potential minimum (maximum)
• When scalar field is kinetically coupled to the Einstein tensor
• Braneworld models with a non-minimally coupled phantom bulk field: a simple way to obtain the -1-crossing at late times
• General Non-minimal Kinetic coupling to gravity
• Purely Kinetic Coupled Gravity
• Tracker fields from nonminimally coupled theory
• Non-minimal quintessence and phantom with nearly flat potentials
• Consequences of a Cosmic Scalar with Kinetic Coupling to Curvature
• Big smash of the universe
• Super-acceleration in non-minimal derivative coupling model
• Coupling constant constraints in a nonminimally coupled phantom cosmology
• Non-minimal kinetic coupling and the phenomenology of dark energy
• Inflation driven by scalar field with non-minimal kinetic coupling with Higgs and quadratic potentials
• Dark energy from scalar field with Gauss Bonnet and non-minimal kinetic coupling
• Crossing of $\omega =-1$ with Tachyon and Non-minimal Derivative Coupling
• Scalar wormholes with nonminimal derivative coupling
• Non-minimal kinetic coupling and Chaplygin gas cosmology

Cited by in corpus (61)

• Solutions in the scalar-tensor theory with nonminimal derivative coupling
• Selected topics in scalar-tensor theories and beyond
• Inflationary models with non-minimally derivative coupling
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Reviving Horndeski Theory using Teleparallel Gravity after GW170817
• The screening Horndeski cosmologies
• Cosmology with nonminimal kinetic coupling and a power-law potential
• Reviving non-Minimal Horndeski-like Theories after GW170817: Kinetic Coupling Corrected Einstein-Gauss-Bonnet Inflation
• Classification of the Horndeski cosmologies via Noether Symmetries
• Gravitational Particle Production in Gravity Theories with Non-minimal Derivative Couplings
• Exact wormhole solutions with nonminimal kinetic coupling
• Notes on teleparallel cosmology with nonminimally coupled scalar field
• Cosmology with non-minimal derivative couplings: perturbation analysis and observational constraints
• Non-minimal derivative coupling gravity in cosmology
• Cosmological models in modified gravity theories with extended nonminimal derivative couplings
• Anisotropic cosmological models in Horndeski gravity
• Thermodynamics of scalar-tensor theory with non-minimally derivative coupling
• Reheating temperature in non-minimal derivative coupling model
• On the phantom barrier crossing and the bounds on the speed of sound in non-minimal derivative coupling theories
• The Phase-space analysis of scalar fields with non-minimally derivative coupling
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Cosmology with nonminimal kinetic coupling and a Higgs-like potential
• Cosmology of non-minimal derivative coupling to gravity in Palatini formalism and its chaotic inflation
• General constraints on Horndeski wormhole throats
• Ghost-free Palatini derivative scalar-tensor theory: desingularization and the speed test
• Einstein static Universe in non-minimal kinetic coupled gravity
• PPN parameters in gravitational theory with nonminimally derivative coupling
• Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
• Quantum Cosmology of Fab Four John Theory with Conformable Fractional Derivative
• General dynamical properties of cosmological models with nonminimal kinetic coupling
• Constraints on dark energy models from the Horndeski theory
• Electrodynamics of a Cosmic Dark Fluid
• Hyperscaling violating black holes in scalar-torsion theories
• Rapid Oscillatory quintessence with variable equation of state parameter in non minimal derivative coupling model
• On viability of inflation in non-minimal kinetic coupling theory
• Vector inflation by kinetic coupled gravity
• Dynamical analysis for a scalar-tensor model with kinetic and non-minimal couplings
• Braneworlds with field derivative coupling to the Einstein tensor
• Thermodynamics of general scalar-tensor theory with non-minimally derivative coupling
• Ruling out an inflation driven by a power law potential: kinetic coupling does not help
• Ricci curvature non-minimal derivative coupling cosmology with field re-scaling
• Conformal and kinetic couplings as two Jordan frames of the same theory
• Reconstruction in the Horndeski theory within the scope of the Bianchi I cosmology
• Anti-de Sitter neutron stars in the theory of gravity with nonminimal derivative coupling
• Testing kinetically coupled inflation models with CMB distortions
• An issue with the classification of the scalar-tensor theories of gravity
• Non-minimal derivative coupling in Palatini cosmology: acceleration in chaotic inflation potential
• Dynamical stability of Minkowski space in higher order gravity
• Curvaton reheating in non-minimal derivative coupling to gravity: NO models
• Generalized Horndeski-Like Einstein Gauss-Bonnet Inflation with Massless Primordial Gravitons
• Classical and quantum cosmology of Fab Four John theories
• Dynamics of holographic dark energy with apparent-horizon cutoff and non-minimal derivative coupling gravity in non-flat FLRW universe
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Cosmology in holographic non-minimal derivative coupling theory: constraints from inflation and variation of gravitational constant
• Gauge inflation by kinetic coupled gravity
• Noether symmetry approach in non-minimal derivative coupling gravity
• Nonminimal Derivative Coupling Cosmology and the Speed of Gravitational Waves
• Cosmology of Quasi-Dilaton Massive Gravity with Non-minimal Kinetic Coupling
• Exact cosmological solutions with magnetic field in the theory of gravity with non-minimal kinetic coupling
• A note on the arrow of time in nonminimally coupled scalar field FRW cosmology
• Intermediate inflation in generalized non-minimal derivative coupling model