Abstract
(Abridged) The contemporary discoveries of galaxies and gamma ray bursts
(GRBs) at high redshift have supplied the first direct information on star
formation when the universe was only a few hundred million years old. The
probable origin of long duration GRBs in the deaths of massive stars would link
the universal GRB rate to the redshift-dependent star formation rate density,
although exactly how is currently unknown. Using an extensive sample of 112
GRBs above a fixed luminosity limit drawn from the Second Swift Burst Alert
Telescope catalog and accounting for uncertainty in their redshift distribution
by considering the contribution of "dark" GRBs, we compare the cumulative
redshift distribution N(<z) of GRBs with the star formation density rho_*(z)
measured from UV-selected galaxies over 0<z<4. We find only marginal evidence
for evolution in the GRB rate to star formation rate ratio Psi(z), consistent
with Psi(z) (1+z)^0.5. We show that such a modest change can be readily
explained if GRBs occur primarily in low-metallicity galaxies which are
proportionally more numerous at earlier times. While some previous studies of
the GRB-star formation rate connection have concluded that GRB-inferred star
formation at high redshift would be sufficient to maintain cosmic reionization
over 6<z<9 and reproduce the observed optical depth of Thomson scattering to
the cosmic microwave background, we show that such a star formation history
would over-predict the observed stellar mass density at z>4 measured from
rest-frame optical surveys. The resolution of this important disagreement is
currently unclear. Regardless of the explanation, the continued study of z>6
GRBs will offer a valuable independent probe of the assumptions made in the
interpretation of star-forming galaxies and their contribution to cosmic
reionization.
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