Can a background of gravitational waves constrain the star formation history of the universe?

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In general, the history of star formation of the universe is obtained from hydrodynamical simulations in a Λ-CDM cosmology. On the other hand, a complete study of the formation of the first objects and the feedback effects on the ambient medium produced by them, is not still possible with the present numerical approaches. However, formation of stars at different redshifts can produce a stochastic background of gravitational waves in the VIRGO and LIGO frequency band and so the detection of this background could directly be used to obtain information about the star formation rate density of the Universe. Here, we use the Press Schechter formalism to calculate the co-moving abundance of halos and the mass contained within the collapsed objects of a given mass range. Then, we study, in particular for a pair of advanced LIGO observatories, what limits could be imposed on the fraction of baryons converted into stars within halos that collapse at redshifts 5 <= z <= 30.

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