Local dark matter and dark energy as estimated on a scale of ~1 Mpc in a self-consistent way

Abstract

Context. Dark energy was first detected from large distances on gigaparsec scales. If it is vacuum energy (or Einstein’s Λ), it should also exist in very local space. Here we discuss its measurement on megaparsec scales of the Local Group. Aims. We combine the modified Kahn-Woltjer method for the Milky Way-M 31 binary and the HST observations of the expansion flow around the Local Group in order to study in a self-consistent way and simultaneously the local density of dark energy and the dark matter mass contained within the Local Group. Methods. A theoretical model is used that accounts for the dynamical effects of dark energy on a scale of ∼ 1M pc. Results. The local dark energy density is put into the range 0.8−3.7ρv (ρv is the globally measured density), and the Local Group mass lies within 3.1−5.8 × 10 12 M� . The lower limit of the local dark energy density, about 4/5× the global value, is determined by the natural binding condition for the group binary and the maximal zero-gravity radius. The near coincidence of two values measured