Stability of an Ultrarelativistic Blast Wave in an External Medium with a Steep Power‐Law Density Profile | Zendy

Xiaohu Wang | Zendy; Abraham Loeb | Zendy; Eli Waxman | Zendy

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Stability of an Ultrarelativistic Blast Wave in an External Medium with a Steep Power‐Law Density Profile

Author(s) -

Xiaohu Wang,

Abraham Loeb,

Eli Waxman

Publication year - 2003

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/377154

Subject(s) - physics , outflow , breakout , blast wave , power law , boundary (topology) , wavelength , mechanics , astrophysics , shock wave , optics , meteorology , mathematical analysis , statistics , mathematics , finance , economics

We examine the stability of self-similar solutions for an acceleratingrelativistic blast wave which is generated by a point explosion in an externalmedium with a steep radial density profile of a power-law index > 4.134. Theseaccelerating solutions apply, for example, to the breakout of a gamma-ray burstoutflow from the boundary of a massive star, as assumed in the popularcollapsar model. We show that short wavelength perturbations may grow but onlyby a modest factor <~ 10.Comment: 12 pages, 3 figures, submitted to Physical Review

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