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Mass and Light distributions in Clusters of Galaxies - Henry A ...

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Weak Lens<strong>in</strong>g Dilution <strong>in</strong> A1689<br />

limits the radius to which a reliable subtraction <strong>of</strong> the background can be<br />

made.<br />

We have also established that the bluest galaxies <strong>in</strong> the field <strong>of</strong> A1689<br />

lie predom<strong>in</strong>antly <strong>in</strong> the background, as their radial distortion pr<strong>of</strong>ile follows<br />

closely the red galaxies, but with an <strong>of</strong>fset <strong>in</strong>dicat<strong>in</strong>g the blue population lies<br />

at a greater mean distance than the red background galaxies, <strong>and</strong> consistent<br />

with the estimated mean redshifts <strong>of</strong> these two populations. With a larger<br />

sample <strong>of</strong> clusters, this purely geometric effect can potentially be put to use to<br />

provide a simple model-<strong>in</strong>dependent measure <strong>of</strong> the cosmological curvature.<br />

The mass pr<strong>of</strong>ile <strong>of</strong> A1689 was reexam<strong>in</strong>ed us<strong>in</strong>g our comb<strong>in</strong>ed background<br />

sample <strong>of</strong> red <strong>and</strong> blue galaxies. The distortion pr<strong>of</strong>ile derived from<br />

this sample is consistent with our earlier work, but somewhat more statistically<br />

significant, so we have exam<strong>in</strong>ed the mass pr<strong>of</strong>ile more carefully out<br />

to a larger radius. We have found that the distortion pr<strong>of</strong>ile is steeper than<br />

predicted for CDM halos appropriate for cluster sized masses C vir ∼ 5. This<br />

discrepancy is particularly clear at large radius r > 2 ′ , where an acceptable<br />

fit is found to an NFW pr<strong>of</strong>ile but with a concentration C vir = 27 +3.5<br />

−5.7. This<br />

f<strong>in</strong>d<strong>in</strong>g is consistent with our earlier work which showed that although an<br />

overall best fit pr<strong>of</strong>ile <strong>of</strong> C vir ≃ 14 to the jo<strong>in</strong>t strong <strong>and</strong> weak lens<strong>in</strong>g based<br />

data presented <strong>in</strong> Broadhurst et al. (2005b), the curvature <strong>of</strong> the data is<br />

more pronounced than an NFW pr<strong>of</strong>ile be<strong>in</strong>g shallower <strong>in</strong> the <strong>in</strong>ner region<br />

<strong>and</strong> steeper at larger radius, so that the derived value <strong>of</strong> the concentration<br />

<strong>in</strong>creases with radius depend<strong>in</strong>g on the radial limits be<strong>in</strong>g exam<strong>in</strong>ed.<br />

This result is surpris<strong>in</strong>g <strong>and</strong> may require a significant departure from the<br />

st<strong>and</strong>ard CDM model, either <strong>in</strong> terms <strong>of</strong> the mass content, or the epoch at<br />

which the bulk <strong>of</strong> the cluster was assembled. For example, one possibility to<br />

achieve earlier formation <strong>of</strong> clusters is to allow deviation from Gaussianity<br />

<strong>of</strong> the primordial density fluctuation field, as has been considered recently<br />

by, e.g., Sadeh et al. (2006).<br />

A1689 is amongst the most massive known<br />

clusters, <strong>and</strong> projection effects may play a role <strong>in</strong> boost<strong>in</strong>g somewhat the<br />

lens<strong>in</strong>g signal along the l<strong>in</strong>e <strong>of</strong> sight. We therefore aim to test the generality<br />

<strong>of</strong> this result with a careful study <strong>of</strong> a statistical sample <strong>of</strong> clusters.<br />

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