2006/06/30 by L. Borgonovo, C.-I. Björnsson, C. -I. Bjornsson · 1 citation
Mathematics · Physics and Astronomy · #Afterglow #Artificial intelligence #Astrophysics #Autocorrelation #Computer science #Correlation function (quantum field theory) #Gamma-ray burst #Gamma-ray bursts and supernovae #Light curve #Mathematics #Physics #Pulsars and Gravitational Waves Research #Relation (database) #Sample (material) #Similarity (geometry) #Spectral density #Statistical physics #Statistics #Stellar, planetary, and galactic studies #Variation (astronomy) #astro-ph
paper · pdf · doi:10.1086/508488
published as Astrophys.J.652:1423-1435,2006 · 13 pages, 6 figures, accepted for publication to ApJ with minor changes
arxiv created 2006/08/23 · openalex publication_date 2006/11/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The statistical properties of a complete, flux-limited sample of 197 long gamma-ray bursts (GRBs) detected by BATSE are studied. In order to bring forth their main characteristics, care was taken to define a representative set of 10 parameters. A multivariate analysis gives that ~70% of the total variation in parameter values is driven by only three principal components. The variation of the temporal parameters is clearly distinct from that of the spectral ones. A close correlation is found between the half-width of the autocorrelation function (τ) and the emission time ( 50 ); most importantly, this correlation is self-similar in the sense that the mean values and dispersions of both τ and 50 scale with the duration of the burst ( T 90 ). It is shown that the Amati relation can be derived from the sample and that the scatter around this relation is correlated with the value of τ. Hence, τ has a role similar to that of the break in the afterglow light curve ( t b ) in the Ghirlanda-relation. In the standard GRB-scenario, the close relation between a global parameter ( t b ) and a local one (τ) indicates that some of the jet-properties do not vary much for different lines of sight. Finally, it is argued that the basic temporal and spectral properties are associated with individual pulses, while the overall properties of a burst is determined mainly by the number of pulses.