General Non-minimal Kinetic coupling to gravity

Abstract

We study a new model of scalar field with a general non-minimal kinetic coupling to itself and to the curvature, as a source of dark energy, and analyze the cosmological dynamics of this model and the issue of accelerated expansion. A wide variety of scalar fields and potentials giving rise to power-law expansion have been found. The dynamical equation of state is studied for the two cases, without and with free kinetic term . In the first case, a behavior very close to that of the cosmological constant was found. In the second case, a solution was found, which match the current phenomenology of the dark energy. The model shows a rich variety of dynamical scenarios.

25 pages, 3 figures; figure added, references added

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Cited by in corpus (63)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Solutions in the scalar-tensor theory with nonminimal derivative coupling
• Generalized Higgs inflation
• Realistic cosmological scenario with non-minimal kinetic coupling
• Cosmology with nonminimal kinetic coupling and a power-law potential
• Super-acceleration in non-minimal derivative coupling model
• Parameterized post-Newtonian limit of Horndeski's gravity theory
• Reviving non-Minimal Horndeski-like Theories after GW170817: Kinetic Coupling Corrected Einstein-Gauss-Bonnet Inflation
• 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
• Cosmology with non-minimal derivative couplings: perturbation analysis and observational constraints
• Non-minimal derivative coupling gravity in cosmology
• Curvaton with nonminimal derivative coupling to gravity
• Crossing of $\omega =-1$ with Tachyon and Non-minimal Derivative Coupling
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Cosmological models in modified gravity theories with extended nonminimal derivative couplings
• Dark Energy from Gauss-Bonnet and non-minimal couplings
• Anisotropic cosmological models in Horndeski gravity
• Non-minimal Derivative Coupling Scalar Field and Bulk Viscous Dark Energy
• Thermodynamics of scalar-tensor theory with non-minimally derivative coupling
• Non-minimal Coupling Branes
• The universe dominated by oscillating scalar with non-minimal derivative coupling to gravity
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• The Phase-space analysis of scalar fields with non-minimally derivative coupling
• Cosmology of non-minimal derivative coupling to gravity in Palatini formalism and its chaotic inflation
• Cosmology with nonminimal kinetic coupling and a Higgs-like potential
• Curvaton with Nonminimal Derivative Coupling to Gravity II: Full Perturbation Analysis
• Logarithmic entropy--corrected holographic dark energy with non--minimal kinetic coupling
• Einstein static Universe in non-minimal kinetic coupled gravity
• Non-minimal kinetic coupling and Chaplygin gas cosmology
• PPN parameters in gravitational theory with nonminimally derivative coupling
• Early Universe with modified scalar-tensor theory of gravity
• Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
• Slow-Roll Inflation in Scalar-Tensor Models
• General dynamical properties of cosmological models with nonminimal kinetic coupling
• Phantom Behavior Bounce with Tachyon and Non-minimal Derivative Coupling
• Interacting Quintessence in a New Scalar-Torsion Gravity
• Scalar-tensor extension of Natural Inflation
• Observational consequences of the Standard Model Higgs inflation variants
• Quintessential and phantom power-law solutions in scalar tensor model of dark energy
• Dynamical analysis for a scalar-tensor model with kinetic and non-minimal couplings
• Reheating mechanism of Curvaton with Nonminimal Derivative Coupling to Gravity
• Phase space analysis for a scalar-tensor model with kinetic and Gauss-Bonnet couplings
• Thermodynamics of general scalar-tensor theory with non-minimally derivative coupling
• Conformal and kinetic couplings as two Jordan frames of the same theory
• Ricci curvature non-minimal derivative coupling cosmology with field re-scaling
• Braneworlds with field derivative coupling to the Einstein tensor
• Reconstruction in the Horndeski theory within the scope of the Bianchi I cosmology
• Phantom Divide Crossing with General Non-minimal Kinetic Coupling
• Non-minimal derivative coupling in Palatini cosmology: acceleration in chaotic inflation potential
• The speed of gravitational waves and power-law solutions in a scalar-tensor model
• Generalized Horndeski-Like Einstein Gauss-Bonnet Inflation with Massless Primordial Gravitons
• Dynamics of holographic dark energy with apparent-horizon cutoff and non-minimal derivative coupling gravity in non-flat FLRW universe
• Exact solutions in a scalar-tensor model of dark energy
• 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
• Power-law expansion and Higgs-type potential in a scalar-tensor model
• Magnetic Bianchi-I cosmology in the Horndeski theory
• Dynamical analysis for a scalar-tensor model with Gauss-Bonnet and non-minimal couplings
• Bi-Connected Gauss-Bonnet Gravity
• Generalized Second Law for Non-minimally Coupled Matter Theories
• Noether symmetry approach in non-minimal derivative coupling gravity
• Palatini kinetic scalar-tensor theory: analytical and numerical solutions