Possibility of realizing weak gravity in redshift space distortion measurements

2015/05/31 by Shinji Tsujikawa · 44 citations
Physics and Astronomy · #Astrophysics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Galaxies: Formation, Evolution, Phenomena #General relativity #Geometry #Gravitation #Mathematical physics #Physics #Pulsars and Gravitational Waves Research #Quantum gravity #Quantum mechanics #Redshift #Scalar (mathematics) #Scalar field #Scalar–tensor theory #Tensor (intrinsic definition) #Theoretical physics #Weak gravitational lensing #astro-ph.CO #f(R) gravity #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.92.044029

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 92(4) (American Physical Society) · 16 pages, 5 figures

openalex publication_date 2015/08/18 · arxiv created 2015/08/19 · arxiv updated 2015/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the possibility of realizing a growth rate of matter density perturbations lower than that in general relativity. Using the approach of the effective field theory of modified gravity encompassing theories beyond Horndeski, we derive the effective gravitational coupling G_eff and the gravitational slip parameter \ensuremathη for perturbations deep inside the Hubble radius. In Horndeski theories we derive a necessary condition for achieving weak gravity associated with tensor perturbations, but this is not a sufficient condition due to the presence of a scalar-matter interaction that always enhances G_eff. Beyond the Horndeski domain it is possible to realize G_eff smaller than Newton's gravitational constant G, while the scalar and tensor perturbations satisfy no-ghost and stability conditions. We present a concrete dark energy scenario with varying c_t and numerically study the evolution of perturbations to confront the model with the observations of redshift-space distortions and weak lensing.

Citations

• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• More on ghosts in the Dvali-Gabadaze-Porrati model
• Chandra Cluster Cosmology Project III: Cosmological Parameter Constraints
• f(R)theories of gravity
• Mach's Principle and a Relativistic Theory of Gravitation
• Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories
• Observational signatures off(R)dark energy models that satisfy cosmological and local gravity constraints
• Time-dependent cosmological term
• Second-order scalar-tensor field equations in a four-dimensional space
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Dynamics of dark energy
• Dispersion of growth of matter perturbations inf(R)gravity
• Planck2013 results. XVI. Cosmological parameters
• Generalized G-inflation: Inflation with the most general second-order field equations
• Covariant Galileon

Cited by

• Effective field theory of coupled dark energy and dark matter
• Hints of modified gravity in cosmos and in the lab?
• The Hubble Tension, the M Crisis of Late Time H(z) Deformation Models and the Reconstruction of Quintessence Lagrangians
• Phenomenology of dark energy: general features of large-scale perturbations