http://arxiv.org/abs/1603.03072
Alternative theories of gravity typically invoke an environment-dependent “screening mechanism” to allow phenomenologically interesting deviations from general relativity (GR) to manifest on larger scales, while reducing to GR on small scales. The observation of the transition from screened to unscreened behavior would be compelling evidence for beyond-GR physics. In this paper, we show that pairwise peculiar velocity statistics — in particular the relative radial velocity dispersion, $\sigma_\parallel$ — can be used to observe this transition when they are binned by some measure of halo environment. We establish this by measuring the radial velocity dispersion between pairs of halos in N-body simulations for 3 $f(R)$ gravity and 4 Symmetron models. We develop an estimator involving only line-of-sight velocities to show that this quantity is observable, and bin the results in halo mass, ambient density, and the “isolatedness” of halos. Ambient density is found to be the most relevant measure of environment; it is distinct from isolatedness, and correlates well with theoretical expectations for the Symmetron model. Binning $\sigma_\parallel$ in ambient density, we find a strong environment-dependent signature for the Symmetron models, with the velocities showing a clear transition from GR to non-GR behavior. No such transition is observed for $f(R)$, as the relevant scales are deep in the unscreened regime. Observations of the relative radial velocity dispersion in forthcoming peculiar velocity surveys, if binned appropriately by environment, therefore offer a valuable way of detecting the screening signature of modified gravity.
M. Ivarsen, P. Bull, C. Llinares, et. al.
Fri, 11 Mar 16
2/59
Comments: 11 pages, 8 figures. For the busy reader: see Figs. 7 and 8 for our key results
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