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A&A 445, 43-49 (2006)
DOI: 10.1051/0004-6361:20053557
Probing dark matter caustics with weak lensing
R. Gavazzi1, 2, R. Mohayaee3 and B. Fort31 Laboratoire d'Astrophysique, OMP, UMR 5572, 14 Av. Edouard Belin, 31400 Toulouse, France
e-mail: rgavazzi@ast.obs-mip.fr
2 Oxford University, Astrophysics, Denys Wilkinson Building, Keble Road, Oxford OX1 3RH, UK
3 Institut d'Astrophysique de Paris, UMR7095 CNRS, Université Pierre & Marie Curie, 98bis Bd. Arago, 75014 Paris, France
(Received 2 June 2005 / Accepted 18 August 2005)
Abstract
Caustics are high-density structures that form in collisionless media.
Under self-gravity, cold dark matter flows focus onto caustics
which are yet to be resolved in numerical simulations and observed
in the real world. If detected, caustics would provide
strong evidence for dark matter and would rule out alternative models
such as those with modified dynamics. Here, we demonstrate how they
might be observed in weak lensing data. We evaluate the
shear distortion and show that its radial profile is marked by a
characteristic sawtooth pattern due to the caustics in dark matter haloes
that form by selfsimilar accretion. We discuss
the observational complications, mainly due to the poor knowledge
of the virial radii of the haloes and demonstrate that a superposition
of about 600 cluster-size
haloes would give a signal-to-noise ratio which is sufficiently large
for the detection of caustics with ground-based observations. This
number is reduced to 200 for space-based observations.
These bounds can be easily achieved by the ongoing wide field optical
surveys such as CFHTLS and the future space-based projects
SNAP and DUNE which have to be accompanied
by an X-ray follow-up of the selected clusters
for a precise determination of their virial radius.
Key words: cosmology: dark matter -- cosmology: gravitational lensing
© ESO 2005
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