Solution of the comoving-frame equation of transfer in spherically symmetric flows. VI. Relativistic flows
Solution of the comoving-frame equation of transfer in spherically symmetric flows. VI. Relativistic flows
复制标题
球对称流中传递的共动坐标系方程的解。
DOI：
10.1086/157902
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发表时间：
1980
期刊：
影响因子：
--
通讯作者：
D. Mihalas
中科院分区：
文献类型：
--
作者：
D. Mihalas
在狭义相对论的框架内，导出了精确描述（即，对于（v/c）中的所有阶）球对称流中辐射和物质相互作用的辐射输运方程。获得了完整的与角度和频率相关的传递方程、与频率相关的力矩方程和与频率积分的力矩方程。结果表明，频率积分矩方程与从辐射应力能量张量的四发散度得到的方程精确等效，并且所有三组方程都恢复了 Castor 先前在极限 (v/c) 远小于 1 下获得的结果。讨论了稳态流传递方程的求解方法，并给出了两个示例。
Within the framework of special relativity, radiative transport equations describing exactly, i.e., to all orders in (v/c), the interaction of radiation and matter in spherically symmetric flows are derived. The full angle- and frequency-dependent transfer equation, frequency-dependent moment equations, and frequency-integrated moment equations are obtained. The frequency-integrated moment equations are shown to be precisely equivalent to the equations obtained from the four-divergence of the radiation stress-energy tensor, and all three sets of equations recover the results obtained earlier by Castor in the limit (v/c)very-much-less-than1. A method of solution of the steady-flow transfer equation is discussed, and two illustrative examples are presented.