2010A&A...516A..93T -
Astronomy and Astrophysics, volume 516, A93-93 (2010/6-3)
The Hubble diagram for a system within dark energy: the location of the zero-gravity radius and the global Hubble rate.
TEERIKORPI P. and CHERNIN A.D.
Abstract (from CDS):
Here we continue to discuss the principle of the local measurement of dark energy using the normalized Hubble diagram describing the environment of a system of galaxies. We calculate the present locus of test particles injected a fixed time ago (∼the age of the universe), in the standard Lambda cosmology and for different values of the system parameters (the model includes a central point mass M and a local dark energy density ρloc) and discuss the position of the zero-gravity distance Rv in the Hubble diagram. Our main conclusion are: 1) when the local DE density ρloc is equal to the global DE density ρv, the outflow reaches the global Hubble rate at the distance R2=(1+zv)Rv, where zv is the global zero-acceleration redshift (≃0.7 for the standard model). This is also the radius of the ideal Einstein-Straus vacuole, 2) for a wide range of the local-to-global dark energy ratio ρloc/ρv, the local flow reaches the known global rate (the Hubble constant) at a distance R2>1.5xRv. Hence, Rv will be between R2/2 and R2, giving upper and lower limits to ρloc/M. For the Local Group, this supports the view that the local density is near the global one.
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Local Group - dark energy - cosmological parameters
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