Anisotropic massive Brans-Dicke gravity extension of the standard $\Lambda$CDM model

Abstract

We present an explicit detailed theoretical and observational investigation of an anisotropic massive Brans-Dicke (BD) gravity extension of the standard $\Lambda$CDM model, wherein the extension is characterized by two additional degrees of freedom; the BD parameter, $\omega$, and the present day density parameter corresponding to the shear scalar, ${\Omega }_{{\sigma }^2,0}$. The BD parameter, determining the deviation from general relativity (GR), by alone characterizes both the dynamics of the effective dark energy (DE) and the redshift dependence of the shear scalar. These two affect each other depending on $\omega$, namely, the shear scalar contributes to the dynamics of the effective DE, and its anisotropic stress --which does not exist in scalar field models of DE within GR-- controls the dynamics of the shear scalar deviating from the usual $\propto (1+z{)}^6$ form in GR. We mainly confine the current work to non-negative $\omega$ values as it is the right sign --theoretically and observationally-- for investigating the model as a correction to the $\Lambda$CDM. By considering the current cosmological observations, we find that $\omega \gtrsim 250$, ${\Omega }_{{\sigma }^2,0}\lesssim 10^{-23}$ and the contribution of the anisotropy of the effective DE to this value is insignificant. We conclude that the simplest anisotropic massive BD gravity extension of the standard $\Lambda$CDM model exhibits no significant deviations from it all the way to the Big Bang Nucleosynthesis. We also point out the interesting features of the model in the case of negative $\omega$ values; for instance, the constraints on ${\Omega }_{{\sigma }^2,0}$ could be relaxed considerably, the values of $\omega \sim -1$ (relevant to string theories) predict dramatically different dynamics for the expansion anisotropy.

arXiv comment27 pages, 6 figures, 1 table

References in corpus (125)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Planck 2013 results. XVI. Cosmological parameters
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Modified Gravity and Cosmology
• f(R) theories
• Extended Theories of Gravity
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmological Constant - the Weight of the Vacuum
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The Case for a Positive Cosmological Lambda-term
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• A 2.4% Determination of the Local Value of the Hubble Constant
• The galileon as a local modification of gravity
• Small-Scale Challenges to the $\Lambda$CDM Paradigm
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• The Temperature of the Cosmic Microwave Background
• From k-essence to generalised Galileons
• Cosmology and Fundamental Physics with the Euclid Satellite
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Quintom Cosmology: Theoretical implications and observations
• String Solitons
• Cosmological Evolution of a Quintom Model of Dark Energy
• Cosmological implications of baryon acoustic oscillation (BAO) measurements
• Varying constants, Gravitation and Cosmology
• Asymmetries in the CMB anisotropy field
• The significance of the largest scale CMB fluctuations in WMAP
• Primordial Nucleosynthesis in the Precision Cosmology Era
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Are There Cosmic Microwave Background Anomalies?
• One percent determination of the primordial deuterium abundance
• Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets
• Dynamical dark energy in light of the latest observations
• The Physics of Cosmic Acceleration
• Superstring Cosmology
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Testing General Relativity in Cosmology
• A Parameterized Post-Friedmann Framework for Modified Gravity
• The effects of He I 10830 on helium abundance determinations
• Null energy condition and superluminal propagation
• Planck 2013 results. XXV. Searches for cosmic strings and other topological defects
• Dark Energy Anisotropic Stress and Large Scale Structure Formation
• Aspects of the cosmological "coincidence problem"
• Vector Field Models of Inflation and Dark Energy
• Model independent evidence for dark energy evolution from Baryon Acoustic Oscillations
• $H_0$ from cosmic chronometers and Type Ia supernovae, with Gaussian Processes and the novel Weighted Polynomial Regression method
• Concordance and Discordance in Cosmology
• Scalar-Tensor Models of Normal and Phantom Dark Energy
• Cosmological Limits on Slightly Skew Stresses
• Cosmology with a stiff matter era
• Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
• LRS Bianchi Type I Models with Anisotropic Dark Energy and Constant Deceleration Parameter
• Ellipsoidal Universe Can Solve The CMB Quadrupole Problem
• How isotropic is the Universe?
• Does the small CMB quadrupole moment suggest new physics?
• A Maximum Likelihood Analysis of the Low CMB Multipoles from WMAP
• Accelerating Cosmologies with an Anisotropic Equation of State
• Anisotropic Dark Energy: Dynamics of Background and Perturbations
• Non-commutative inflation and the CMB
• Neutrinos And Big Bang Nucleosynthesis
• The Observational Future of Cosmological Scalar-Tensor Theories
• Anisotropic Cosmological Constant and the CMB Quadrupole Anomaly
• How Anisotropic is our Universe?
• Effects of the Sound Speed of Quintessence on the Microwave Background and Large Scale Structure
• Lectures on the Cosmological Constant Problem
• PPN Parameter $\gamma$ and Solar System Constraints of Massive Brans-Dicke Theories
• Cosmological constraints on Brans-Dicke theory
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• Inhomogeneous Gravity
• Constraining Dark Energy Anisotropic Stress
• Cosmic Microwave Background Temperature and Polarization Anisotropy in Brans-Dicke Cosmology
• Testing the Isotropy of the Universe with Type Ia Supernovae
• Anisotropy dissipation in brane-world inflation
• Observational signatures of Jordan-Brans-Dicke theories of gravity
• BBN For Pedestrians
• Structure formation constraints on the Jordan-Brans-Dicke theory
• A Model of Universe Anisotropization
• Constraints on the Variation of G from Primordial Nucleosynthesis
• Cosmological constraints on post-Newtonian parameters in effectively massless scalar-tensor theories of gravity
• Probing kinematics and fate of the Universe with linearly time-varying deceleration parameter
• Tests and problems of the standard model in Cosmology
• CMB and BAO constraints for an induced gravity dark energy model with a quartic potential
• Imperfect fluid description of modified gravities
• Falsifying $\Lambda$CDM: Model-independent tests of the concordance model with eBOSS DR14Q and Pantheon
• Model-independent constraints on the cosmological anisotropic stress
• Cosmological parameter inference with Bayesian statistics
• Reconstruction of the Dark Energy equation of state
• Cosmological constraints on induced gravity dark energy models
• Probing Dark Energy Anisotropy
• Anisotropic Scalar-Tensor Cosmologies
• Limits to Global Rotation and Shear From the COBE DMR 4-Year Sky Maps
• Anisotropic perturbations due to dark energy
• The radiation-matter transition in Jordan-Brans-Dicke theory
• A Complete Statistical Analysis for the Quadrupole Amplitude in an Ellipsoidal Universe
• Anisotropic dark energy and ellipsoidal universe
• Cosmology at at Crossroads: Tension with the Hubble Constant
• Constraints on the anisotropy of dark energy
• Testing the isotropy of the Universe with type Ia supernovae in a model-independent way
• Constraining the dark energy equation of state using Bayes theorem and the Kullback-Leibler divergence
• The cut-sky cosmic microwave background is not anomalous
• Measuring dark energy spatial inhomogeneity with supernova data
• Are $H_0$ and ${\sigma }_8$ tensions generic to present cosmological data?
• Induced gravity, and minimally and conformally coupled scalar fields in Bianchi-I cosmological models
• Anisotropic Cosmological Model in Modified Brans--Dicke Theory
• Spatial Variations of Fundamental Constants
• Scalar field mass in generalized gravity
• Braneworld cosmological models with anisotropy
• Fourier-series expansion of the dark-energy equation of state
• Modified Brans-Dicke Theory in Arbitrary Dimensions
• Anisotropic k-essence cosmologies
• Exact cosmological solution of a Scalar-Tensor Gravity theory compatible with the $\Lambda CDM$ model
• A Bayesian study of the primordial power spectrum from a novel closed universe model
• A framework for testing isotropy with the cosmic microwave background
• Accelerating anisotropic cosmologies in Brans-Dicke gravity coupled to a mass-varying vector field
• Testing extended Jordan-Brans-Dicke theories with future cosmological observations
• Disformal vectors and anisotropies on a warped brane
• Helium-4 Synthesis in an Anisotropic Universe
• GHRS Observations of Cool, Low-Gravity Stars. VI Mass-Loss Rates and Wind Parameters for M Giants
• Bianchi V inflation in the Brans-Dicke theory?
• Isotropization of Bianchi type models and a new FRW solution in Brans-Dicke theory
• Extended anisotropic models in noncompact Kaluza-Klein theory
• Doubly-boosted vector cosmologies from disformal metrics
• Weak field limit of higher dimensional massive Brans-Dicke gravity: Observational constraints
• Dark Energy Phenomenology

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• Relaxing cosmological tensions with a sign switching cosmological constant: Improved results with Planck, BAO, and Pantheon data
• Omnipotent dark energy: A phenomenological answer to the Hubble tension
• Cosmological parameter inference with Bayesian statistics
• Testing spatial curvature and anisotropic expansion on top of the $\Lambda$CDM model
• Rastall gravity extension of the standard $\Lambda$CDM model: theoretical features and observational constraints
• Screening anisotropy via energy-momentum squared gravity: $\Lambda$CDM model with hidden anisotropy
• Model selection applied to reconstructions of the Dark Energy
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Constraining Bianchi type V universe with recent H(z) and BAO observations in Brans-Dicke theory of gravitation
• Note on Tsallis holographic dark energy in Brans-Dicke cosmology
• Fractional Scalar Field Cosmology
• f(R) Gravity in an Ellipsoidal Universe
• Noncompactified Kaluza--Klein Gravity
• Do we need wavelets in the late Universe?
• Comment on Brans-Dicke Scalar Field Cosmological Model in Lyra's Geometry
• Quadratic energy-momentum squared gravity: constraints from big bang nucleosynthesis
• Late-Time Anisotropy Sourced by a 2-Form Field Non-Minimally Coupled to Cold Dark Matter
• Role of internal space correlations in the dynamics of a higher-dimensional Bianchi type-I universe: shear scalar and Hubble parameter perspectives