Stable cosmological solutions in Horndeski theory

Abstract

It is known that the construction of a completely stable solution in Horndeski theory is restricted very strongly by the so-called no-go theorem. Previously, various techniques have been used to avoid the conditions of the theorem. In this paper a new way of constructing stable solutions are shown in the general Horndeski theory. We considered the situation in which the unitary gauge studied earlier turns out to be singular. On this basis we construct a spatially flat, stable bouncing and genesis Universe solutions which are described by General Relativity with non-conventional scalar field.

References in corpus (43)

• The galileon as a local modification of gravity
• Generalized G-inflation: Inflation with the most general second-order field equations
• Covariant Galileon
• Healthy theories beyond Horndeski
• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Horndeski theory and beyond: a review
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
• G-inflation: inflation driven by the Galileon field
• Towards a Nonsingular Bouncing Cosmology
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Galilean Genesis: an alternative to inflation
• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• G-Bounce
• The Null Energy Condition and its violation
• Effective Description of Higher-Order Scalar-Tensor Theories
• Generic instabilities of non-singular cosmologies in Horndeski theory: a no-go theorem
• A Cosmological Super-Bounce
• Classically stable non-singular cosmological bounces
• The Effective Field Theory of nonsingular cosmology
• Universal Field Equations with Covariant Solutions D.B. Fairlie
• Generalized Galileons: instabilities of bouncing and Genesis cosmologies and modified Genesis
• Stability of Geodesically Complete Cosmologies
• A covariant Lagrangian for stable nonsingular bounce
• The Effective Field Theory of nonsingular cosmology: II
• Cosmological bounce and Genesis beyond Horndeski
• G-Bounce Inflation: Towards Nonsingular Inflation Cosmology with Galileon Field
• Non-Singular Bouncing Cosmology: Consistency of the Effective Description
• DHOST Bounce
• Galilean Creation of the Inflationary Universe
• Inflation from Minkowski Space
• Bounce beyond Horndeski with GR asymptotics and $\gamma$-crossing
• Scalar and Tensor Perturbations in DHOST Bounce Cosmology
• Emergent Universe and Genesis from the DHOST Cosmology
• Nonsingular cosmological models with strong gravity in the past
• Bounce Inflation Cosmology with Standard Model Higgs Boson
• Genesis with general relativity asymptotics in beyond Horndeski theory
• Toward evading the strong coupling problem in Horndeski genesis
• Improved DHOST Genesis
• Horndeski genesis: consistency of classical theory
• Subluminal cosmological bounce beyond Horndeski
• Perturbative unitarity and NEC violation in genesis cosmology
• Cosmological scenarios with bounce and Genesis in Horndeski theory and beyond: An essay in honor of I.M. Khalatnikov on the occasion of his 100th birthday

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