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Scientific Report 2007-2009<br />

Astronomy & Astrophysics<br />

A7. Gravitational lensing and its cosmological applications<br />

Gravitational lensing uses the property of light to be<br />

deflected by the gravitational potential. The banding of<br />

light ray by a gravitational force is a direct consequence<br />

of the principle of equivalence but the amplitude of this<br />

effect can be exactly computed only using general relativity,<br />

in which the deflection is described by geodetic<br />

lines following the curvature of the space-time. The measuremt<br />

of a deflection of 1.75” for the stars behind the<br />

Sun during the 1919 solar eclipse was one of the main observational<br />

test that confirmed Einstein theory. Nevertheless<br />

it was only at the end the last century that gravitational<br />

lensing started to be an important reasearch<br />

subject in astrophysics and during the last ten years it<br />

became a fundamental tool for modern cosmology. The<br />

reason for this delay is mainly the very high quality images<br />

needed to observe this phoenomenon in most of the<br />

relevant cases: in what is called the “weak regime” the<br />

only observable consequence of light deflection is a tiny<br />

distortion in the shape of the lensed image.<br />

In an international context were gravitational lensing is<br />

a leading research subject, Italy started with a serious<br />

delay comparing with the other countries. The group<br />

of Rome, the result of a close collaboration between the<br />

University “La <strong>Sapienza</strong>” and the astronomical observatory<br />

(OAR), is working very activily with Naples and<br />

Bologna to compensate this gap. The main interests of<br />

our group are the following:<br />

Measurement of the cosmic shear: Cosmic shear<br />

is the gravitational distortion of the shape of background<br />

galaxies by the large scale structure of the universe. It is<br />

considered one of the most promising probe to determine<br />

the distribution of the dark matter in the universe.<br />

Our group participated to the analysis of the Canada<br />

France Hawaii Legacy Survey (CFHTLS) data, up to<br />

now the most sensitive measurement of cosmic shear [1],<br />

that allowed to place tight constraints on two important<br />

cosmological parameters: the matter density Ω m and the<br />

normalization of the matter power spectrum σ 8 .<br />

σ8<br />

1.2<br />

1.1<br />

1.0<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

Aperture−mass<br />

85’−230’<br />

0.2 0.4 0.6 0.8 1.0<br />

Ω m<br />

Figure 1: Comparison (1, 2σ) between WMAP3 (green contours)<br />

and CFHTLS results (purple). The combined contours of WMAP3<br />

and CFHTLS are shown in orange.<br />

Dark Matter and Gravity using two independent cosmological<br />

probes: cosmic shear and baryonic acoustic<br />

oscillations. For this purpose, Euclid will measure the<br />

shape and spectra of galaxies over the entire extragalactic<br />

sky in the visible and NIR, out to redshift 2, thus<br />

covering the period over which dark energy accelerated<br />

the universe expansion. Our group participate to the<br />

development of the mission concept as a member of the<br />

Euclid Imaging Consortium [2].<br />

Mass determination of galaxy clusters: The<br />

only direct method to estimate cluster mass, regardless<br />

of its composition or dynamical behavior, is therefore<br />

via measuring the distortion (shear) of the shapes of<br />

background galaxies that are weakly lensed by the gravitational<br />

potential of the cluster. Our group performed<br />

a weak lensing analysis of the z = 0.288 cluster Abell<br />

611 on g-band data obtained at the Large Binacular<br />

Telescope (LBT) in order to estimate the cluster mass.<br />

The combination of the large aperture of the telescope<br />

and the wide field of view allowed us to map a region<br />

well beyond the expected virial radius of the cluster and<br />

to get a high surface density of background galaxies.<br />

This made possible to estimate an accurate mass for<br />

Abell 611, demonstrating that LBC is a powerful<br />

instrument for weak gravitational lensing studies. This<br />

project was completed performing a comparative study<br />

of the A611 mass results obtained with strong lensing<br />

and X-ray data.<br />

Figure 2: Projected mass map obtained from a weak lensing<br />

analysis of CCD images of the cluster Abell 611. The contour<br />

levels (σ min = 3.5, σ max = 5) are overplotted on a g-band greyscale<br />

image (∼ 4 ′ ) of the field of the cluster.<br />

References<br />

1. L. Fu, et al., A. & A. 479, 9 (2008).<br />

2. A. Refregier, et al., Exp. Astronomy 23, 17 (2009).<br />

Authors<br />

R. Maoli, A. Romano, Scaramella 5 R., Mainini 5 R.,<br />

Giordano 5 F.<br />

Participation to the space mission EUCLID:<br />

Euclid is a space mission selected for study within the<br />

ESA’s Cosmic Vision framework. Euclid primary goal is<br />

to to place high accuracy constraints on Dark Energy,<br />

<strong>Sapienza</strong> Università di Roma 154 Dipartimento di Fisica

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