2019/06/30 by Massimo Rossi, M. Rossi, M. Ballardini +8
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #General relativity #Geometry #Gravitation #Massless particle #Mathematical physics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Scalar (mathematics) #Scalar curvature #Scalar field #astro-ph.CO
paper · pdf · doi:10.1103/physrevd.100.103524
published as Phys. Rev. D 100, 103524 (2019) · 17 pages, 24 figures, 2 tables; small changes, updated references, matching published version in Phys. Rev. D
openalex created_date 2019/07/12 · openalex publication_date 2019/11/18 · arxiv created 2020/02/06 · arxiv updated 2020/02/07 · openalex updated_date 2026/08/05
We study the cosmological constraints on the variation of Newton's constant and on post-Newtonian parameters for simple models of the scalar-tensor theory of gravity beyond the extended Jordan-Brans-Dicke theory. We restrict ourselves to an effectively massless scalar field with a potential V\ensuremath∝F2, where F(\ensuremathσ)=Npl2+\ensuremathξ\ensuremathσ2 is the coupling to the Ricci scalar considered. We derive the theoretical predictions for cosmic microwave background anisotropies and matter power spectra by requiring that the effective gravitational strength at present is compatible with the one measured in a Cavendish-like experiment and by assuming an adiabatic initial condition for scalar fluctuations. When comparing these models with Planck 2015 and a compilation of baryonic acoustic oscillations data, all these models accommodate a marginalized value for H0 higher than in \mathrm\ensuremathΛCDM. We find no evidence for a statistically significant deviation from Einstein's general relativity. We find \ensuremathξ<0.064 (|\ensuremathξ|<0.011) at 95% CL for \ensuremathξ>0 (for \ensuremathξ<0, \ensuremathξ\ensuremath≠\ensuremath-1/6). In terms of post-Newtonian parameters, we find 0.995<\ensuremathγPN<1 and 0.99987<\ensuremathβPN<1 (0.997<\ensuremathγPN<1 and 1<\ensuremathβPN<1.000011) for \ensuremathξ>0 (for \ensuremathξ<0). For the particular case of the conformal coupling, i.e., \ensuremathξ=\ensuremath-1/6, we find constraints on the post-Newtonian parameters of similar precision to those within the Solar System.