Self-similar imploding relativistic shock waves
天体物理学
2009-11-10 v2 广义相对论与量子宇宙学
流体动力学
摘要
Self-similar solutions to the problem of a strong imploding relativistic shock wave are calculated. These solutions represent the relativistic generalisation of the Newtonian Gouderley-Landau-Stanyukovich problem of a strong imploding spherical shock wave converging to a centre. The solutions are found assuming that the pre-shocked flow has a uniform density, and are accurate for sufficiently large times after the formation of the shock wave.
引用
@article{arxiv.astro-ph/0406603,
title = {Self-similar imploding relativistic shock waves},
author = {J. C. Hidalgo and S. Mendoza},
journal= {arXiv preprint arXiv:astro-ph/0406603},
year = {2009}
}
备注
22 pages, 4 figures. Minor corrections and a discussion of the singular C_ characteristic added. Accepted for publication in Physics of Fluids