$k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation

Abstract

In this paper, we investigated inflationary solutions for a subclass of Horndeski models where a scalar field is non-minimally coupled with the Gauss-Bonnet invariant. Examples of canonical scalar field and $k$-essence to support the early-time acceleration are considered. The formalism to calculate the perturbations in FRW universe and to derive the spectral index and the tensor-to-scalar ratio is furnished.

arXiv commentfinal version, accepted in Symmetry 14 pages

References in corpus (42)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• k-Inflation
• Generalized G-inflation: Inflation with the most general second-order field equations
• Perturbations in k-inflation
• From k-essence to generalised Galileons
• Gauss-Bonnet dark energy
• Natural Inflation: Particle Physics Models, Power Law Spectra for Large Scale Structure, and Constraints from COBE
• Inflationary Cosmology
• Singularity-free cosmological solutions of the superstring effective action
• Inflationary cosmology in modified gravity theories
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Towards a non-singular pre-big bang cosmology
• Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations
• Asymptotically locally AdS and flat black holes in Horndeski theory
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Instability of 1-loop superstring cosmology
• A Model of Graceful Exit in String Cosmology
• Higgs G-inflation
• Nearly Starobinsky inflation from modified gravity
• Neutron stars in general second order scalar-tensor theory: the case of non-minimal derivative coupling
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• The graceful exit in pre-big bang string cosmology
• Slowly rotating black hole solutions in Horndeski gravity
• F(R) gravity and inflation
• Some aspects of generalized modified gravity models
• G-Bounce Inflation: Towards Nonsingular Inflation Cosmology with Galileon Field
• Inflationary universe from higher-derivative quantum gravity
• Trace-anomaly driven inflation in modified gravity and the BICEP2 result
• Nonminimal derivative coupling scalar-tensor theories: odd-parity perturbations and black hole stability
• A note on a mimetic scalar-tensor cosmological model
• Spotting deviations from R^2 inflation
• Reconstruction of Inflation Models
• Inflationary universe from higher derivative quantum gravity coupled with scalar electrodynamics
• $f(\varphi )R$-models for inflation
• Chaotic inflation in higher derivative gravity theories
• Scalar tensor Horndeski models: simple cosmological applications
• K-essence in Horndeski models
• $k$-essence for warm inflation on the brane

Cited by in corpus (4)

• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Recovering a MOND-like acceleration law in mimetic gravity
• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity