期刊
ASTROPHYSICAL JOURNAL
卷 880, 期 2, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.3847/1538-4357/ab29e6
关键词
gamma-ray burst: general; hydrodynamics; methods: analytical; shock waves
资金
- Lyman Spitzer Jr.
- NASA through the Hubble Fellowship Program
- Einstein Fellowship Program [PF6-170170]
Astrophysical explosions are accompanied by the propagation of a shockwave through an ambient medium. Depending on the mass and energy involved in the explosion, the shock velocity V can be nonrelativistic (V << c, where c is the speed of light), ultrarelativistic (V similar or equal to c), or moderately relativistic (V similar to few x 0.1c). While self-similar energy-conserving solutions to the fluid equations that describe the shock propagation are known in the nonrelativistic (the Sedov-Taylor blastwave) and ultrarelativistic (the Blandford-McKee blastwave) regimes, the finite speed of light violates scale invariance and self-similarity when the flow is only mildly relativistic. By treating relativistic terms as perturbations to the fluid equations, here we derive the O(V-2/c(2)), energy-conserving corrections to the nonrelativistic Sedov-Taylor solution for the propagation of a strong shock. We show that relativistic terms modify the post-shock fluid velocity, density, pressure, and the shock speed itself, the latter being constrained by global energy conservation. We derive these corrections for a range of post-shock adiabatic indices gamma (which we set as a fixed number for the post-shock gas) and ambient power-law indices n, where the density of the ambient medium rho(a) into which the shock advances declines with spherical radius r as rho(a) proportional to r(-n). For Sedov-Taylor blastwaves that terminate in a contact discontinuity with diverging density, we find that there is no relativistic correction to the Sedov-Taylor solution that simultaneously satisfies the fluid equations and conserves energy. These solutions have implications for relativistic supernovae, the transition from ultra- to subrelativistic velocities in gamma-ray bursts, and other high-energy phenomena.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据