Attractors, Statefinders and Observational Measurement for Chameleonic Brans--Dicke Cosmology

Abstract

We investigate chameleonic Brans--Dicke model applied to the FRW universes. A framework to study stability and attractor solutions in the phase space is developed for the model. We show that depending on the matter field and stability conditions, it is possible to realize phantom-like behavior without introducing phantom filed in the model while the stability is fulfilled and phantom crossing occurs. The statefinder parameters to the model for different kinds of matter interacting with the chameleon scalar field are studied. We also compare our model with present day observations.

arXiv comment28 pages, 38 figures

References in corpus (70)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• The 3D power spectrum of galaxies from the SDSS
• Cosmological Results from High-z Supernovae
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Statefinder -- a new geometrical diagnostic of dark energy
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Quintessence and the Rest of the World
• The Second Data Release of the Sloan Digital Sky Survey
• Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy
• Extra force in $f(R)$ modified theories of gravity
• The First Data Release of the Sloan Digital Sky Survey
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• A measurement by BOOMERANG of multiple peaks in the angular power spectrum of the cosmic microwave background
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• The Third Data Release of the Sloan Digital Sky Survey
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• Detecting Dark Energy in Orbit -- the Cosmological Chameleon
• One-loop f(R) gravity in de Sitter universe
• Modified gravity with $\ln R$ terms and cosmic acceleration
• Where new gravitational physics comes from: M-theory?
• Quintessence without scalar fields
• Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter
• Gravity assisted dark energy dominance and cosmic acceleration
• The Power of General Relativity
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• The holographic dark energy in non-flat Brans-Dicke cosmology
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Cosmological Parameters from Eigenmode Analysis of Sloan Digital Sky Survey Galaxy Redshifts
• What does inflation really predict?
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• The evolution of density perturbations in f(R) gravity
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Mapping the Cosmological Expansion
• Viability of f(R) Theories with Additional Powers of Curvature
• Physical non-equivalence of the Jordan and Einstein frames
• The phase space view of f(R) gravity
• Holographic dark energy in Brans-Dicke cosmology with chameleon scalar field
• Interacting HDE and NADE in Brans-Dicke Chameleon Cosmology
• Viable Palatini-f(R) cosmologies with generalized dark matter
• Black hole entropy in modified gravity models
• The Effect of a Chameleon Scalar Field on the Cosmic Microwave Background
• Stellar configurations in f(R) theories of gravity
• Modified gravity with $f(R)=\sqrt{R^2-R_0^2}$
• Revisiting chameleon gravity - thin-shells and no-shells with appropriate boundary conditions
• Time Dependence of Brans-Dicke Parameter w for an Expanding Universe
• Cosmic Evolution in Generalised Brans-Dicke Theory
• Rolling Closed String Tachyons and the Big Crunch
• Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and Dark Energy
• Cosmic acceleration and crossing of $\omega =-1$ in non-minimal modified Gauss-Bonnet gravity
• Gauss-Bonnet Chameleon Mechanism of Dark Energy
• Cosmic Dynamics in the Chameleon Cosmology
• Current Acceleration from Dilaton and Stringy Cold Dark Matter
• Hybrid Inflation without Flat Directions and without Primordial Black Holes
• Early and Late Transient Cosmic Acceleration due to Curvature Inspired Dark Energy
• String Inspired Quintom Model with Non-minimally Coupled Modified Gravity
• Bouncing Universe and phantom crossing in Modified Gravity and its reconstruction
• Generalized Brans-Dicke cosmology in the presence of matter and dark energy
• Interacting Cosmic Fluids in Brans-Dicke Cosmology
• String Propagation through a Big Crunch/Big Bang Transition
• An Inverse $f(R)$ Gravitation for Cosmic Speed up, and Dark Energy Equivalent
• Gravitational Waves in Generalised Brans-Dicke Theory
• Can we have a stringy origin behind ${\Omega }_{\Lambda }(t)\propto {\Omega }_m(t)$?
• Cyclic Universe à la string theory

Cited by in corpus (24)

• f(R,T) Cosmological Models in Phase Space
• Cosmological dynamics of non-minimally coupled scalar field system and its late time cosmic relevance
• Conservation laws in theories with universal gravity/matter coupling
• Constraints on cosmological parameters in power-law cosmology
• Statefinder hierarchy of bimetric and galileon models for concordance cosmology
• Stability Analysis in Tachyonic Potential Chameleon cosmology
• Constraining chameleon field driven warm inflation with Planck 2018 data
• Stability analysis and Observational Measurement in Chameleonic Generalised Brans--Dicke Cosmology
• Gauss-Bonnet lagrangian G ln G and cosmological exact solutions
• Gravitoelectromagnetism and other decompositions of the Riemann tensor
• Cosmic Evolution in Brans-Dicke Chameleon Cosmology
• On the Chameleon Brans-Dicke Cosmology
• A new approach in stability analysis: case study: tachyon cosmology with non-minimally coupled scalar field-matter
• Searching for a Cosmological Preferred Axis in complicated class of cosmological models:Case study $f(R,T)$ model
• Quark-hadron phase transition in a chameleon Brans-Dicke model of brane gravity
• Entropy and statefinder diagnosis in chameleon cosmology
• Stability analysis in Modified Non-Local Gravity
• Stability analysis of agegraphic dark energy in Brans-Dicke cosmology
• Statefinder analysis of the superfluid Chaplygin gas model
• Varying alpha and cosmic acceleration in Brans-Dicke-BSBM theory: stability analysis and observational tests
• Stability analysis and observational constraints in scalar tensor theory
• Observational constraints in scalar tensor theory with tachyonic potential
• Constraints on scalar-tensor theories from observations
• Geometric and thermodynamic properties in Gauss-Bonnet gravity