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2009MNRAS.400..775C -
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Mon. Not. R. Astron. Soc., 400, 775-790 (2009/December-1)
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An updated gamma-ray bursts Hubble diagram.
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CARDONE V.F., CAPOZZIELLO S. and DAINOTTI M.G.
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Abstract (from CDS):
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Gamma-ray bursts (GRBs) have recently attracted much attention as a possible way to extend the Hubble diagram (HD) to very high redshift. To this aim, the luminosity (or isotropic-emitted energy) of a GRB at redshift *z* must be evaluated from a correlation with a distance-independent quantity so that one can then solve for the luminosity distance *d*_{L}(*z*) and hence the distance modulus µ(*z*). Averaging over five different two-parameter correlations and using a fiducial cosmological model to calibrate them, Schaefer has compiled a sample of 69 GRBs with measured µ(*z*) which has since then been widely used to constrain cosmological parameters. Here, we update this sample through many aspects. First, we add a recently found correlation to the X-ray afterglow and use a Bayesian-inspired fitting method to calibrate the different GRB correlations known so far by assuming a fiducial Λ cold dark matter model in agreement with the recent *Wilkinson Microwave Anisotropy Probe*5 data. Averaging over six correlations, we end up with a new GRB HD comprising 83 objects. We also extensively explore the impact of varying the fiducial cosmological model considering how the estimated µ(*z*) change as a function of the (Ω_{M}, *w*_{0}, *w*_{a}) parameters of the Chevallier-Polarski-Linder phenomenological dark energy equation of state. In order to avoid the need of assuming an a priori cosmological model, we present a new calibration procedure based on a model-independent local regression estimate of µ(*z*) using the Union Type Ia Supernovae sample to calibrate the GRBs correlations. This finally gives us a GRB HD made out of 69 GRBs whose estimated distance modulus µ(*z*) is almost independent of the underlying cosmological model.

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Abstract Copyright:
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© 2009 The Authors. Journal compilation © 2009 RAS

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Journal keyword(s):
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cosmology: cosmological parameters - cosmology: distance scale - gamma-rays: bursts
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Simbad objects:
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83

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2020.10.22-00:45:22

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