Self-similar solutions for the interaction of relativistic ejecta with an ambient medium
Astrophysics
2008-11-26 v1
Abstract
We find self-similar solutions to describe the interaction of spherically symmetric ejecta expanding at relativistic speeds with an ambient medium having a power law density distribution. Using this solution, the time evolution of the Lorentz factor of the outer shock is derived as a function of the explosion energy, the mass of the ejecta, and parameters for the ambient medium. These solutions are an ultra-relativistic version of the solutions for the circumstellar interaction of supernova ejecta obtained by Chevalier and extensions of the relativistic blast wave solutions of Blandford & Mckee.
Cite
@article{arxiv.astro-ph/0603120,
title = {Self-similar solutions for the interaction of relativistic ejecta with an ambient medium},
author = {Ko Nakamura and Toshikazu Shigeyama},
journal= {arXiv preprint arXiv:astro-ph/0603120},
year = {2008}
}
Comments
12 pages, 1 figure, accepted for publication in ApJ