Constraints on the Brans-Dicke gravity theory with the Planck data

Yi-Chao Li; Feng-Quan Wu; Xuelei Chen

doi:10.1103/PhysRevD.88.084053

paper

Constraints on the Brans-Dicke gravity theory with the Planck data

arXiv:1305.0055 · doi:10.1103/PhysRevD.88.084053

Abstract

Based on the new cosmic CMB temperature data from the Planck satellite, the 9 year polarization data from the WMAP, the BAO distance ratio data from the SDSS and 6dF surveys, we place a new constraint on the Brans-Dicke theory. We adopt a parametrization $ζ=\ln(1+1/ω})$, where the general relativity (GR) limit corresponds to $ζ = 0$ . We find no evidence of deviation from general relativity. At 95% probability, $- 0.00246 < ζ < 0.00567$ , correspondingly, the region $- 407.0 < ω < 175.87$ is excluded. If we restrict ourselves to the $ζ > 0$ (i.e. $ω > 0$ ) case, then the 95% probability interval is $ζ < 0.00549$ , corresponding to $ω > 181.65$ . We can also translate this result to a constraint on the variation of gravitational constant, and find the variation rate today as $G ˙ = - 1.4 2_{- 2.27}^{+ 2.48} \times 1 0^{- 13}$ yr $^{- 1}$ ( $1 σ$ error bar), the integrated change since the epoch of recombination is $δ G / G = 0.010 4_{- 0.0067}^{+ 0.0186}$ ( $1 σ$ error bar). These limits on the variation of gravitational constant are comparable with the precision of solar system experiments.

7 pages, 5 figures, 2 tables

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Constraining the Variation of G by Cosmic Microwave Background Anisotropies

Constraints on the Brans-Dicke gravity theory with the Planck data

Abstract

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