Implications of the Measured Image Size for the Radio Afterglow of GRB
030329
release_u2rh2gysmzaw3kbkireklv6lte
by
Jonathan Granot, Enrico Ramirez-Ruiz, Abraham Loeb
2004
Abstract
We use data on the image size of the radio afterglow of GRB 030329 (Taylor et
al. 2004) to constrain the physical parameters of this explosion. Together with
the observed broad band spectrum, this data over-constrains the physical
parameters, thus enabling to test different GRB jet models for consistency. We
consider two extreme models for the lateral spreading of the jet: model 1 with
relativistic expansion in the local rest frame, and model 2 with little lateral
expansion as long as the jet is highly relativistic. We find that both models
are consistent with the data for a uniform external medium, while for a stellar
wind environment model 1 is consistent with the data but model 2 is disfavored
by the data. Our derivations can be used to place tighter constraints on the
dynamics and structure of GRB jets in future afterglows, following a denser
monitoring campaign for the temporal evolution of their image size.
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