Stability of Fireballs and $γ$-Ray Bursts

Details Stability of Fireballs and $γ$-Ray Bursts Stability of Fireballs and $γ$-Ray Bursts

1994-06-08

arxiv.org/abs/astro-ph/9406024v2

Astronomy and Astrophysics

Astrophysics

Plain tex (12 pages). One figure can be obtain via anonymous ftp from shemesh.fiz.huji.ac.il

Scientific paper

10.1086/187554

Fireballs are an essential part of any cosmological $\gamma$-ray burst. We drive here a stability criterion for fireballs and show that fireballs are Rayleigh-Taylor unstable in any region in which the entropy decreases outward. The instability begins to operate when the fireball becomes matter dominated. Among the possible implication of the instability are: (i) Conversion of a fraction of the radiation energy to a convective energy expressed in the motion of bubbles relative to each other. (ii) Penetration of fast bubbles through slower ones and creation of high $\gamma$ regimes which are essential for efficient conversion of the energy to $\gamma$-rays. (iii) Formation of rapid variation (of the scale of the bubbles) in the observed $\gamma$-rays.

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