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Stability of the Forward/Reverse‐Shock System Formed by the Impact of a Relativistic Fireball on an Ambient Medium
Author(s) -
Xiaohu Wang,
Abraham Loeb,
Eli Waxman
Publication year - 2002
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 - 10.1086/339163
Subject(s) - afterglow , shock (circulatory) , physics , shock wave , gamma ray burst , stability (learning theory) , mechanics , phase (matter) , astrophysics , quantum mechanics , medicine , machine learning , computer science
We analyze the stability of a relativistic double (forward/reverse) shocksystem which forms when the fireball of a Gamma-Ray Burst (GRB) impacts on thesurrounding medium. We find this shock system to be stable to linear globalperturbations for either a uniform or a wind (r^{-2}) density profile of theambient medium. For the wind case, we calculate analytically the frequencies ofthe normal modes which could modulate the early short-term variability of GRBafterglows. We find that perturbations in the double shock system could induceoscillatory fluctuations in the observed flux on short (down to seconds) timescales during the early phase of an afterglow.Comment: ApJ, submitted, 26 pages, 5 figure

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