Fab 5: Noncanonical Kinetic Gravity, Self Tuning, and Cosmic Acceleration

Abstract

We investigate circumstances under which one can generalize Horndeski's most general scalar-tensor theory of gravity. Specifically we demonstrate that a nonlinear combination of purely kinetic gravity terms can give rise to an accelerating universe without the addition of extra propagating degrees of freedom on cosmological backgrounds, and exhibit self tuning to bring a large cosmological constant under control. This nonlinear approach leads to new properties that may be instructive for exploring the behaviors of gravity.

16 pages, 7 figures

References in corpus (38)

• f(R) Theories Of Gravity
• f(R) theories
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• k-Inflation
• The galileon as a local modification of gravity
• Kinetically Driven Quintessence
• Generalized G-inflation: Inflation with the most general second-order field equations
• Perturbations in k-inflation
• From k-essence to generalised Galileons
• Covariant Galileon
• Gauss-Bonnet dark energy
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Imperfect Dark Energy from Kinetic Gravity Braiding
• The Cosmology of Generalized Modified Gravity Models
• General second order scalar-tensor theory, self tuning, and the Fab Four
• Massive Cosmologies
• The Cosmology of Modified Gauss-Bonnet Gravity
• Cosmology with Nonminimal Derivative Couplings
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Open FRW universes and self-acceleration from nonlinear massive gravity
• Cosmological perturbations of self-accelerating universe in nonlinear massive gravity
• Self-tuning and the derivation of the Fab Four
• Kinetic k-essence and Quintessence
• Cosmological perturbations in Massive Gravity and the Higuchi bound
• Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution
• Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity
• Stability of Schwarzschild-like solutions in f(R,G) gravity models
• The Paths of Gravity in Galileon Cosmology
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Matter instabilities in general Gauss-Bonnet gravity
• Purely Kinetic Coupled Gravity
• The cosmology of the Fab-Four
• Inevitable ghost and the degrees of freedom in f(R,G) gravity
• Cosmological perturbations of a perfect fluid and noncommutative variables
• Constraints on general second-order scalar-tensor models from gravitational Cherenkov radiation
• Cosmology and perturbations in massive gravity
• Cosmological perturbation in f(R,G) theories with a perfect fluid
• Linear growth of matter density perturbations in f(R,G) theories

Cited by in corpus (49)

• Beyond the Cosmological Standard Model
• Cosmological Tests of Modified Gravity
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• Testing General Relativity in Cosmology
• Essential Building Blocks of Dark Energy
• Asymptotically flat black holes in Horndeski theory and beyond
• Nonlinear structure formation in the Cubic Galileon gravity model
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Linear perturbations in Galileon gravity models
• Stability of a black hole and the speed of gravity waves within self-tuning cosmological models
• Neutron stars in Horndeski gravity
• The parameter space in Galileon gravity models
• Covariant multi-galileons and their generalisation
• Horndeski theories self-tuning to a de Sitter vacuum
• Cosmological self-tuning and local solutions in generalized Horndeski theories
• The cosmology of the Fab-Four
• The screening Horndeski cosmologies
• Challenges in Connecting Modified Gravity Theory and Observations
• Cosmologies in Horndeski's second-order vector-tensor theory
• The Well-Tempered Cosmological Constant
• Spotting deviations from R^2 inflation
• Non-minimal Derivative Coupling Scalar Field and Bulk Viscous Dark Energy
• Reheating temperature in non-minimal derivative coupling model
• Well-tempered teleparallel Horndeski cosmology: a teleparallel variation to the cosmological constant problem
• Self Tuning Scalar Fields in Spherically Symmetric Spacetimes
• Generation of primordial black holes from an inflation model with modified dispersion relation
• How Fabulous Is Fab 5 Cosmology?
• Well-Tempered Minkowski Solutions in Teleparallel Horndeski Theory
• Gravitational Mechanisms to Self-Tune the Cosmological Constant: Obstructions and Ways Forward
• Well-Tempered Cosmology
• Proca theory of four-dimensional regularized Gauss-Bonnet gravity and black holes with primary hair
• Attracted to de Sitter: cosmology of the linear Horndeski models
• New DBI Inflation model with Kinetic Coupling to Einstein Gravity
• Spherical Cows in the Sky with Fab Four
• A Graceful Exit for the Cosmological Constant Damping Scenario
• Are Scalar and Tensor Deviations Related in Modified Gravity?
• The Well-Tempered Cosmological Constant: The Horndeski Variations
• The Well-Tempered Cosmological Constant: Fugue in B${}^{♭}$
• Reconstruction method in the kinetic gravity braiding theory with shift-symmetric
• Double screening
• Black holes in self-tuning cubic Horndeski cosmology
• Generalised scalar-tensor theories and self-tuning
• Charged Boson Stars and Black Holes with Non-Minimal Coupling to Gravity
• Reconstruction in the Horndeski theory within the scope of the Bianchi I cosmology
• Self-tuning of the cosmological constant in brane-worlds with $P(X,\varphi )$
• Tadpole Cosmology: Self Tuning Without Degeneracy
• The nonlinear anisotropic model of the Universe with the linear potential
• Confronting the Potential-driven DBI-inspired nonminimal kinetic coupling (Dinkic) inflation to the observational data
• Tadpole Cosmology: Milne Solution as a Cosmological Constant Hideout