Spatial Distribution of GRBs with Known Redshifts Stanislav Shirokov, Alexander Raikov

Abstract

      The conditional density method and the pairwise distances method to study gamma-ray bursts spatial distribution are used. The GRB sample is based on Swift program and includes 364 objects with measured redshifts and fluences. The main sample is divided into two cases. In both cases entire celestial sphere up to 8 Gpc is taken, but in the second case without Galactic belt. As a reference sample we use comparison of the real sample with the uniform distributions within the same geometry and the same number of points. Also we perform modeling of the luminosity function and Malmquist bias which allows to consider total sample without additional cuts such as volume limited subsamples. Our statistical analysis shows that the fractal dimension of the GRB sample, D, is about 2.6 on the range from 2 to 6 Gpc.

Reference:
Stanislav Shirokov, Alexander Raikov, "Spatial Distribution of GRBs with Known Redshifts" in Proceedings of The International Conference "SN 1987A, Quark Phase Transition in Compact Objects and Multimessenger Astronomy", Russia, Terskol (BNO INR RAS), Nizhnij Arkhyz (SAO RAS), 2-8 July 2017, INR RAS, Moscow, 2018, ISBN 978-5-94274-327-7, pp. 181-184.
DOI: 10.26119/SAO.2020.1.52348
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