Nine extrasolar planets with masses between 110 and 430M are known to transit
their star. The knowledge of their masses and radii allows an estimate of their
composition, but uncertainties on equations of state, opacities and possible
missing energy sources imply that only inaccurate constraints can be derived
when considering each planet separately. Aims: We seek to better understand the
composition of transiting extrasolar planets by considering them as an
ensemble, and by comparing the obtained planetary properties to that of the
parent stars. Methods: We use evolution models and constraints on the stellar
ages to derive the mass of heavy elements present in the planets. Possible
additional energy sources like tidal dissipation due to an inclined orbit or to
downward kinetic energy transport are considered. Results: We show that the
nine transiting planets discovered so far belong to a quite homogeneous
ensemble that is characterized by a mass of heavy elements that is a relatively
steep function of the stellar metallicity, from less than 20 earth masses of
heavy elements around solar composition stars, to up to 100M for three times
the solar metallicity (the precise values being model-dependant). The
correlation is still to be ascertained however. Statistical tests imply a
worst-case 1/3 probability of a false positive. Conclusions: Together with the
observed lack of giant planets in close orbits around metal-poor stars, these
results appear to imply that heavy elements play a key role in the formation of
close-in giant planets. The large masses of heavy elements inferred for planets
orbiting metal rich stars was not anticipated by planet formation models and
shows the need for alternative theories including migration and subsequent
collection of planetesimals.Comment: Astronomy and Astrophysics 0 (2006) in pres