We have used recent X-ray and optical data in order to impose some constrai
nts on the cosmology and cluster scaling relations.
Generically, two kinds of hypotheses define our model. First, we consider t
hat the cluster population is well described by the standard Press-Schechte
r (PS) formalism, and secondly, these clusters are assumed to follow scalin
g relations with mass: temperature-mass (T-M) and X-ray luminosity -mass (L
-x-M).
In contrast with many other authors we do not assume specific scaling relat
ions to model cluster properties such as the usual T-M virial relation or a
n observational relation or an observational determination of the L-x-T rel
ation. Instead we consider general unconstrained parameter scaling relation
s.
With the previous model (PS plus scalings) we fit our free parameters to se
veral X-ray and optical data sets with the advantage over preceding works t
hat we consider all the data sets at the same time. This prevents us from b
eing inconsistent with some of the available observations. Among other inte
resting conclusions, we find that only low-density universes are compatible
with all the data considered and that the degeneracy between Omega (m) and
sigma (8) is broken. Also we obtain interesting limits on the parameters c
haracterizing the scaling relations.