On the sideways expansion of relativistic non-spherical shocks and GRB afterglows

Details On the sideways expansion of relativistic non-spherical shocks and GRB afterglows On the sideways expansion of relativistic non-spherical shocks and GRB afterglows

2011-05-31

arxiv.org/abs/1106.0025v1

Astronomy and Astrophysics

Astrophysics

High Energy Astrophysical Phenomena

Scientific paper

Expansion of non-spherical relativistic blast waves is considered in the Kompaneets (the thin shell) approximation. We find that the relativistic motion effectively "freezes out" the lateral dynamics of the shock front: only extremely strongly collimated shocks, with the opening angles $\Delta \theta \leq 1/\Gamma^2$, show appreciable modification of profiles due to sideways expansion. For less collimated profiles the propagation is nearly ballistic; the sideways expansion of relativistic shock becomes important only when they become mildly relativistic.

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