K-essence in Horndeski models

Abstract

In this paper, we investigate a simple class of Horndeski models where the scalar field plays the role of a k-essence fluid. We present several solutions for early-time universe, namely inflation and cosmological bounce, by making use of some reconstruction technique. Moreover, we furnish the formalism to calculate perturbations in FRW space-time and we compute the spectral index and the tensor-to-scalar ratio during inflation.

arXiv commentfinal version, accepted in Astrophys.Space Sci., 14 pages

References in corpus (34)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• 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
• Inflationary Cosmology
• Inflationary cosmology in modified gravity theories
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• 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
• 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
• Bouncing cosmology with future singularity from modified gravity
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Slowly rotating black hole solutions in Horndeski gravity
• F(R) gravity and inflation
• Some aspects of generalized modified gravity models
• 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
• Formation of caustics in k-essence and Horndeski theory
• Reconstruction of Inflation Models
• Inflationary universe from higher derivative quantum gravity coupled with scalar electrodynamics
• $f(\varphi )R$-models for inflation
• Generalized Galileon Model -- cosmological reconstruction and the Vainshtein mechanism --
• Chaotic inflation in higher derivative gravity theories
• Scalar tensor Horndeski models: simple cosmological applications
• $k$-essence for warm inflation on the brane

Cited by in corpus (6)

• Recovering a MOND-like acceleration law in mimetic gravity
• Cosmological bouncing scenarios in symmetric teleparallel gravity
• Axionic black branes in the k-essence sector of the Horndeski model
• Compatibility between the scalar field models of tachyon, $k$-essence and quintessence in $f(R,T)$ gravity
• $k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation
• Thawing k-essence dark energy in the PAge space