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Galaxy rotation curves and the deceleration parameter in weak gravity

Maurice H. P. M. van Putten

Sejong University, Seoul 143-747, South Korea

https://doi.org/10.1142/S0217732317300191Cited by:3 (Source: Crossref)

Abstract

We present a theory of weak gravity parametrized by a fundamental frequency $ω_{0} = \sqrt{1 - q} H$ of the cosmological horizon, where $H$ and $q$ denote the Hubble and, respectively, deceleration parameter. It predicts (i) a $C^{0}$ onset to weak gravity across accelerations $α = a_{dS}$ in galaxy rotation curves, where $a_{dS} = c H$ denotes the de Sitter acceleration with velocity of light $c$ , and (ii) fast evolution $Q (z) = d q (z) / d z$ of the deceleration parameter by $Λ = ω_{0}^{2}$ satisfying $Q_{0} > 2.5$ , $Q_{0} = Q (0)$ , distinct from $Q_{0} ≲ 1$ in $Λ$ CDM. The first is identified in the high resolution data of Lelli et al. (2017), the second in the heterogeneous data on $H (z)$ over $0 < z < 2$ . A model-independent cubic fit in the second rules out $Λ$ CDM by $4.35 σ$ and obtains $H_{0} = 74.0 \pm 2.2 {km s}^{- 1} {Mpc}^{- 1}$ consistent with Riess et al. [Astrophys. J.826, 56 (2016)]. Comments on possible experimental tests by the LISA Pathfinder are included.

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