Gamma-ray burst afterglow scaling coefficients for general density profiles

Gamma-rays 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 front arbitrary fluid configurations, making it especially suited to Study the effects of fluid flows beyond those that call 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. We rederive the physical parameters of GRB 970508 and compare with other authors.