Generalized Brans-Dicke theories

Abstract

In Brans-Dicke theory a non-linear self interaction of a scalar field allows a possibility of realizing the late-time cosmic acceleration, while recovering the General Relativistic behavior at early cosmological epochs. We extend this to more general modified gravitational theories in which a de Sitter solution for dark energy exists without using a field potential. We derive a condition for the stability of the de Sitter point and study the background cosmological dynamics of such theories. We also restrict the allowed region of model parameters from the demand for the avoidance of ghosts and instabilities. A peculiar evolution of the field propagation speed allows us to distinguish those theories from the LCDM model.

14 pages, 4 figures, version to appear in JCAP

References in corpus (58)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• f(R) Theories Of Gravity
• f(R) theories
• 4D Gravity on a Brane in 5D Minkowski Space
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• The galileon as a local modification of gravity
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• The Confrontation between General Relativity and Experiment
• Kinetically Driven Quintessence
• Disappearing cosmological constant in f(R) gravity
• Covariant Galileon
• Pre-Big-Bang in String Cosmology
• The Pre-Big Bang Scenario in String Cosmology
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Conditions for the cosmological viability of f(R) dark energy models
• 1/R gravity and Scalar-Tensor Gravity
• Strong Interactions and Stability in the DGP Model
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• The Confrontation between General Relativity and Experiment
• Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity
• Classical and Quantum Consistency of the DGP Model
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Constraining f(R) Gravity as a Scalar Tensor Theory
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• f(R) Gravity and Chameleon Theories
• Galileon Cosmology
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Dark Energy and Dark Gravity
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• k-Mouflage gravity
• Curing singularities in cosmological evolution of F(R) gravity
• DBI and the Galileon reunited
• Structure formation in the DGP cosmological model
• Exponential Gravity
• More on ghosts in DGP model
• Self-Accelerating Universe in Galileon Cosmology
• f(R) actions, cosmic acceleration and local tests of gravity
• Observational constraints on self-accelerating cosmology
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Large-Scale Tests of the DGP Model
• Recovering General Relativity from massive gravity
• The dispersion of growth of matter perturbations in f(R) gravity
• Aspects of cosmological expansion in F(R) gravity models
• The growth of matter perturbations in f(R) models
• Fully Covariant Van Dam-Veltman-Zakharov Discontinuity, and Absence Thereof
• Cosmic expansion and growth histories in Galileon scalar-tensor models of dark energy
• Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity
• Confronting Braneworld Cosmology with Supernova data and Baryon Oscillations
• Supernova limits on brane world cosmology
• The Vainshtein mechanism in the Decoupling Limit of massive gravity
• Constraining $f(R)$ gravity models with disappearing cosmological constant
• Cosmological perturbations of a perfect fluid and noncommutative variables
• Constraining DGP Gravity from Observational Data
• Scalar mode propagation in modified gravity with a scalar field

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• Primordial non-Gaussianity from G-inflation
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• Do cosmological data rule out $f(\mathcal{R})$ with $w\ne -1$?
• Third order solutions of the cosmological density perturbations in the Horndeski's most general scalar-tensor theory with the Vainshtein mechanism
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