This paper discusses the possible constraints on H(z) and dark energy from GRBs and concludes that supernovae will be better at low redshift, but that GRBs make useful constraints on H(z) at higher redshifts, e.g. z~2.
I would be interested to know how the constraints from GRBs would compare with WFMOS/KAOS, which aims to measure D_A and H at z~3 using baryon wiggles from spectroscopic galaxy redshifts.
[astro-ph/0512232] What Can Gamma Ray Bursts Teach Us About Dark Energy?
|Authors:||Dan Hooper, Scott Dodelson|
|Abstract:||It has been suggested that Gamma Ray Bursts (GRB) may enable the expansion rate of our Universe to be measured out to very high redshifts ($z \gsim 5$) just as type Ia supernovae have done at $z \sim$1--1.5. We explore this possibility here, and find that GRB have the potential to detect dark energy at high statistical significance, but they are unlikely to be competitive with future supernovae missions, such as SNAP, in measuring the properties of the dark energy. The exception to this conclusion is if there is appreciable dark energy at early times, in which case the information from GRB's will provide an excellent complement to the $z\sim 1$ information from supernovae.|
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