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Issue A&A
Volume 417, Number 1, April I 2004
Page(s) 13 - 27
Section Cosmology (including clusters of galaxies)
DOI http://dx.doi.org/10.1051/0004-6361:20034119



A&A 417, 13-27 (2004)
DOI: 10.1051/0004-6361:20034119

Scaling laws in X-ray galaxy clusters at redshift between 0.4 and 1.3

S. Ettori1, P. Tozzi2, S. Borgani3, 4 and P. Rosati1

1  ESO, Karl-Schwarzschild-Str. 2, 85748 Garching, Germany
2  INAF, Osservatorio Astronomico di Trieste, via G. B. Tiepolo 11, 34131 Trieste, Italy
3  Dip. di Astronomia, Universitá di Trieste, via G. B. Tiepolo 11, 34131 Trieste, Italy
4  INFN - Istituto Nazionale di Fisica Nucleare, Trieste, Italy

(Received 28 July 2003 / Accepted 29 November 2003 )

Abstract
We present a study of the integrated physical properties of a sample of 28 X-ray galaxy clusters observed with Chandra at a redshift between 0.4 and 1.3. In particular, we have twelve objects in the redshift range 0.4-0.6, five between 0.6 and 0.8, seven between 0.8 and 1 and four at z>1.0, compounding the largest sample available for such a study. We focus particularly on the properties and evolution of the X-ray scaling laws. We fit both a single and a double $\beta-$model with the former which provides a good representation of the observed surface brightness profiles, indicating that these clusters do not show any significant excess in their central brightness. By using the best-fit parameters of the $\beta-$model together with the measured emission-weighted temperature (in the range 3-11 keV), we recover gas luminosity, gas mass and total gravitating mass out to  R500. We observe scaling relations steeper than expected from the self-similar model by a significant ( > $3 \sigma$) amount in the L-T and $M_{\rm gas}-T$ relations and by a marginal value in the  $M_{\rm
tot}-T$ and $L-M_{\rm tot}$ relations. The degree of evolution of the $M_{\rm
tot}-T$ relation is found to be consistent with the expectation based on the hydrostatic equilibrium for gas within virialized dark matter halos. We detect hints of negative evolution in the  L-T, $M_{\rm gas}-T$ and $L-M_{\rm tot}$ relations, thus suggesting that systems at higher redshift have lower X-ray luminosity and gas mass for fixed temperature. In particular, when the 16 clusters at z>0.6 are considered, the evolution becomes more evident and its power-law modelization is a statistically good description of the data. In this subsample, we also find significant evidence for positive evolution, such as $(1\,+\,z)^{0.3}$, in the Ez4/3 S - T relation, where the entropy  S is defined as $T/n_{\rm gas}^{2/3}$ and is measured at 0.1 $\,R_{200}$. Such results point toward a scenario in which a relatively lower gas density is present in high-redshift objects, thus implying a suppressed X-ray emission, a smaller amount of gas mass and a higher entropy level. This represents a non-trivial constraint for models aiming at explaining the thermal history of the intra-cluster medium out to the highest redshift reached so far.


Key words: galaxies: cluster: general -- galaxies: fundamental parameters -- galaxies: intergalactic medium -- X-ray: galaxies -- cosmology: observations -- cosmology: dark matter

Offprint request: S. Ettori, settori@eso.org

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© ESO 2004


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