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Assuming that there exists a species of heavy sterile neutrinos($m_{\nu}>1$keV) and their decays can serve as a heating source of the hot gas in galaxyclusters, we study how the observational constraints on cooling flow limit themass of these sterile neutrinos. We predict a relation among the luminosity,total mass and the redshift of a cluster, and we compare this relation withdata from 12 clusters to obtain an estimate of the decay rate of the sterileneutrino.Comment: 15 pages, 4 figure

Heating of the Intergalactic Medium by the Radiative Decay of Neutrinos