Stability of an Ultra-Relativistic Blast Wave in an External Medium with a Steep Power-Law Density Profile

Details Stability of an Ultra-Relativistic Blast Wave in an External Medium with a Steep Power-Law Density Profile Stability of an Ultra-Relativistic Blast Wave in an External Medium with a Steep Power-Law Density Profile

2002-12-22

arxiv.org/abs/astro-ph/0212519v1

Astrophys.J. 594 (2003) 924-935

Astronomy and Astrophysics

Astrophysics

12 pages, 3 figures, submitted to Physical Review D

Scientific paper

10.1086/377154

We examine the stability of self-similar solutions for an accelerating relativistic blast wave which is generated by a point explosion in an external medium with a steep radial density profile of a power-law index > 4.134. These accelerating solutions apply, for example, to the breakout of a gamma-ray burst outflow from the boundary of a massive star, as assumed in the popular collapsar model. We show that short wavelength perturbations may grow but only by a modest factor <~ 10.

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