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We reconsider cosmological constraints on extra dimension theories from theexcess production of Kaluza-Klein gravitons. We point out that, if the normalcytemperature is above 1 GeV, then graviton states produced at this temperaturewill decay early enough that they do not affect the present day dark matterdensity, or the diffuse gamma ray background. We rederive the relevantcosmological constraints for this scenario.Comment: 17 pages, latex, revtex4; added a short discussion of other  constraints, reference

Relaxing cosmological constraints on large extra dimensions