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Afterglow Light Curves and Broken Power Laws: A Statistical Study

2006/02/09 by G. Jóhannesson, Gudlaugur Jóhannesson, Gunnlaugur Björnsson +3 · 1 citation
Physics and Astronomy · #Gamma-ray bursts and supernovae #Nuclear physics research studies #Pulsars and Gravitational Waves Research #astro-ph

paper · pdf · doi:10.1086/503294

published as Astrophys.J. 640 (2006) L5-L8 · 4 pages, 5 figures, accepted for publication in ApJ Letters

arxiv created 2006/02/09 · openalex publication_date 2006/02/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

In gamma-ray burst research, it is quite common to fit the afterglow light curves with a broken power law to interpret the data. We apply this method to a computer-simulated population of afterglows and find systematic differences between the known model parameters of the population and the ones derived from the power-law fits. In general, the slope of the electron energy distribution is overestimated from the prebreak light curve slope while being underestimated from the postbreak slope. We also find that the jet opening angle derived from the fits is overestimated in narrow jets and underestimated in wider ones. Results from fitting afterglow light curves with broken power laws must therefore be interpreted with caution since the uncertainties in the derived parameters might be larger than estimated from the fit. This may have implications for Hubble diagrams constructed using gamma-ray burst data.

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