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We follow the evolution of the baryonic top-hat overdensity in a single-zoneapproximation. Our goal is to juxtapose the evolution of the gas temperature inthe primordial clouds in the lambda cold dark matter model and the warm darkmatter model with keV sterile neutrinos and to check the effects of theirdecays, into one X-ray photon and one active neutrino, on the structureformation. We find that, in all the cases we have examined, the overall effectof sterile dark matter is to facilitate the cooling of gas and to reduce theminimal mass of the halo able to collapse. Hence, we conclude that X-rays fromthe decays of dark matter in the form of sterile neutrinos can help the earlycollapse of gas clouds and the subsequent star formation.Comment: 3 pages, 1 figure, talk presented at the Parallel Session on sterile  neutrinos and dark matter at the 11th Marcel Grossmann Meeting held in  Berlin, Germany, July 2006, to appear in the proceedings of MG1

THERMAL AND CHEMICAL EVOLUTION OF THE PRIMORDIAL CLOUDS IN WARM DARK MATTER MODELS WITH KEV STERILE NEUTRINOS IN ONE-ZONE APPROXIMATION