Gamma-Ray Burst Luminosity Relations Do Not Show Evolution With Redshift

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Long duration Gamma-Ray Bursts (GRBs) have several luminosity relations (correlating measurable burst properties with the peak luminosity) that make bursts into `standard candles’ for use in cosmology. As such, GRBs are now being used for GRB Hubble diagrams out to redshift ? and to measure the massive star formation rate to high redshift. The GRB luminosity relations produce one-sigma errors of 26% in redshift (roughly a factor of 2 times worse than Type Ia Supernovae) but have the big advantage of a long lever arm to high redshifts. A substantial question and worry is whether the GRB luminosity relations undergo any significant evolution with redshift. (The luminosity distributions of the GRB populations do change with redshift, but this is irrelevant to GRBs as standard candles.) I report here on four studies which find that the luminosity relations do not exhibit any measurable evolution: (1) For bursts with constant luminosity, based on those with optical redshifts, the various luminosity indicators do not vary systematically or significantly with redshift from 0.22, and z>3. This test depends on the adopted cosmology, for which I have used the concordance cosmology with ΩM=0.27 in a flat w=-1 universe. Evolution of the luminosity relations is allowed to the extent at which the cosmology deviates from this distance/redshift relation. (4) Theoretical explanations of the luminosity relations all base the relations on conservation of energy, speed of light, and other physics that do not evolve with redshift.

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