Vainshtein screening in a cosmological background in the most general second-order scalar-tensor theory

2011/11/30 by Rampei Kimura, Tsutomu Kobayashi, Kazuhiro Yamamoto · 10 citations
Mathematics · Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Geometry #Mathematical physics #Mathematics #Medicine #Order (exchange) #Physics #Pure mathematics #Scalar (mathematics) #Tensor (intrinsic definition) #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.85.024023

published as Phys.Rev.D85:024023,2012 · 12 pages, 5 figures, v2: published in PRD

openalex publication_date 2012/01/13 · arxiv created 2012/01/19 · arxiv updated 2012/01/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A generic second-order scalar-tensor theory contains a nonlinear derivative self-interaction of the scalar degree of freedom \ensuremathφ \`a la Galileon models, which allows for the Vainshtein screening mechanism. We investigate this effect on subhorizon scales in a cosmological background, based on the most general second-order scalar-tensor theory. Our analysis takes into account all the relevant nonlinear terms and the effect of metric perturbations consistently. We derive an explicit form of Newton's constant, which in general is time-dependent and hence is constrained from observations, as suggested earlier. It is argued that in the most general case the inverse-square law cannot be reproduced on the smallest scales. Some applications of our results are also presented.

Citations

• Nonlinear interactions in a cosmological background in the Dvali-Gabadadze-Porrati braneworld
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Second-order scalar-tensor field equations in a four-dimensional space
• Modifiedf(R)gravity unifyingRminflation with theΛCDMepoch
• Varying alpha in a more realistic universe
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Varying constants, Gravitation and Cosmology
• The galileon as a local modification of gravity
• Generalized G-inflation: Inflation with the most general second-order field equations
• Covariant Galileon
• The Confrontation between General Relativity and Experiment

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• Phenomenology of dark energy: general features of large-scale perturbations
• Black hole perturbations in vector-tensor theories: the odd-mode analysis
• Spherical collapse in DHOST theories and EFT of dark energy
• Horndeski gravity without screening in binary pulsars