van Eerten 2008 A general code for the afterglow

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It is fully complete, and can be regarded as a beginning of the numerical study.

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Title:		Gamma-Ray Burst afterglow scaling coefficients for general density profile via post-processing of blastwave solutions
Authors:		van Eerten, H. J.; Wijers, R. A. M. J.
Publication:		eprint arXiv:0810.2250
Publication Date:		10/2008
Origin:		ARXIV
Keywords:		Astrophysics
Comment:		11 pages, 5 figures
Bibliographic Code:		2008arXiv0810.2250V

Abstract

Gamma-ray burst (GRB) afterglows are well described by synchrotron emission originating from the interaction between a relativistic blast wave and the external medium surrounding the GRB progenitor. We introduce a code to reconstruct spectra and light curves from arbitrary fluid configurations, making it especially suited to study the effects of fluid flows beyond those that can be described using analytical approximations. As a check and first application of our code we use it to fit the scaling coefficients of theoretical models of afterglow spectra. We extend earlier results of other authors to general circumburst density profiles. When we apply our simulations to GRB 970508 we find that having an upper cut-off on the power law distribution of shock-accelerated electrons will have observable consequences at X-ray frequencies.

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