The recent detection of planets around very low mass stars raises the
question of the formation, composition and potential habitability of these
objects. We use planetary system formation models to infer the properties, in
particular their radius distribution and water content, of planets that may
form around stars ten times less massive than the Sun. Our planetary system
formation and composition models take into account the structure and evolution
of the protoplanetary disk, the planetary mass growth by accretion of solids
and gas, as well as planet-planet, planet-star and planet-disk interactions. We
show that planets can form at small orbital period in orbit about low mass
stars. We show that the radius of the planets is peaked at about 1 rearth and
that they are, in general, volatile rich especially if proto-planetary discs
orbiting this type of stars are long-lived. Close-in planets orbiting low-mass
stars similar in terms of mass and radius to the ones recently detected can be
formed within the framework of the core accretion paradigm as modeled here. The
properties of protoplanetary disks, and their correlation with the stellar
type, are key to understand their composition.Comment: to appear in Astronomy and Astrophysics Letter