Non-minimal Kinetic coupling to gravity and accelerated expansion

Abstract

We study a scalar field with kinetic term coupled to itself and to the curvature, as a source of dark energy, and analyze the role of this new coupling in the accelerated expansion at large times. In the case of scalar field dominance, the scalar field and potential giving rise to power-law expansion are found in some cases, and a dynamical equation of state is calculated for a given solution of the field equations. A behavior very close to that of the cosmological constant was found.

17 pages, 1 figure, references added, constraints on time variation of the gravitational coupling added

References in corpus (6)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• Exact cosmological solutions with nonminimal derivative coupling
• From inflation to dark energy in the non-minimal modified gravity
• Consequences of a Cosmic Scalar with Kinetic Coupling to Curvature
• Observational Signatures of Gravitational Couplings in DBI Inflation

Cited by in corpus (52)

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• Selected topics in scalar-tensor theories and beyond
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• Reviving non-Minimal Horndeski-like Theories after GW170817: Kinetic Coupling Corrected Einstein-Gauss-Bonnet Inflation
• Phase Transition to a Hairy Black Hole in Asymptotically Flat Spacetime
• Gravitational Particle Production in Gravity Theories with Non-minimal Derivative Couplings
• Teleparallel Dark Energy with Purely Non-minimal Coupling to Gravity
• 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
• Non-minimal derivative coupling gravity in cosmology
• Curvaton with nonminimal derivative coupling to gravity
• Unification of Dark Matter - Dark Energy in Generalized Galileon Theories
• Dynamical evolution of a scalar field coupling to Einstein's tensor in the Reissner-Nordström black hole spacetime
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Dark Energy from Gauss-Bonnet and non-minimal couplings
• The universe dominated by oscillating scalar with non-minimal derivative coupling to gravity
• Thermodynamics of scalar-tensor theory with non-minimally derivative coupling
• On the phantom barrier crossing and the bounds on the speed of sound in non-minimal derivative coupling theories
• Greybody factor of scalar fields from black strings
• Kinetically coupled dark energy
• The Phase-space analysis of scalar fields with non-minimally derivative coupling
• Exponential potential for an inflaton with nonminimal kinetic coupling and its supergravity embedding
• Curvaton with Nonminimal Derivative Coupling to Gravity II: Full Perturbation Analysis
• Slow-Roll Inflation with Exponential Potential in Scalar-Tensor Models
• PPN parameters in gravitational theory with nonminimally derivative coupling
• Non-minimal kinetic coupling and Chaplygin gas cosmology
• Slow-Roll Inflation in Scalar-Tensor Models
• Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
• Dynamical evolution of a vector field perturbation coupling to Einstein tensor
• Cosmological Model with Nonminimal Derivative Coupling of Scalar Fields in Five Dimensions
• Quasinormal modes of a scalar perturbation coupling with Einstein's tensor in the warped $Ad{S}_3$ black hole spacetime
• Dynamical systems analysis of the cubic galileon beyond the exponential potential and the cosmological analogue of the vDVZ discontinuity
• Scalar-tensor extension of Natural Inflation
• Observational consequences of the Standard Model Higgs inflation variants
• Reheating mechanism of Curvaton with Nonminimal Derivative Coupling to Gravity
• Dynamical analysis for a scalar-tensor model with kinetic and non-minimal couplings
• Quintessential and phantom power-law solutions in scalar tensor model of dark energy
• Extension of non-minimal derivative coupling theory and Hawking radiation in black-hole spacetime
• 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
• Ricci curvature non-minimal derivative coupling cosmology with field re-scaling
• Potential-driven Inflation with Disformal Coupling to Gravity
• Phantom Divide Crossing with General Non-minimal Kinetic Coupling
• An issue with the classification of the scalar-tensor theories of gravity
• Symmetron with a non-minimal kinetic term
• Generalized Horndeski-Like Einstein Gauss-Bonnet Inflation with Massless Primordial Gravitons
• The speed of gravitational waves and power-law solutions in a scalar-tensor model
• Exact solutions in a scalar-tensor model of dark energy
• Power-law expansion and Higgs-type potential in a scalar-tensor model
• Generalized Second Law for Non-minimally Coupled Matter Theories
• Unified dynamical system formulations for $f(R,\varphi ,X)$ gravity with applications to nonminimal derivative coupling and $R^2$-Higgs inflation