Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-03-18
Astronomy and Astrophysics
Astrophysics
Submitted to ApJ, 35 pages, latex, 14 figures
Scientific paper
10.1086/306868
We study numerically the evolution of an adiabatic relativistic fireball expanding into a cold uniform medium. We follow the stages of initial free expansion and acceleration, coasting and then deceleration and slowing down to a non-relativistic velocity. We compare the numerical results with simplified analytical estimates. We show that the relativistic self similar Blandford-McKee solution describes well the relativistic deceleration epoch. It is an excellent approximation throughout the relativistic deceleration stage, down to $\gamma \sim 5$, and a reasonable approximation even down to $\gamma \sim 2$ though the solution is rigorous only for $\gamma \gg 1$. We examine the transition into the Blandford-McKee solution, and the transition from the solution to the non-relativistic self similar Sedov-Taylor solution. These simulations demonstrate the attractive nature of the Blandford-McKee solution and its stability to radial perturbations.
Kobayashi Shiho
Piran Tsvi
Sari Re'em
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