Correspondence between sonic points of ideal photon gas accretion and photon spheres
Correspondence between sonic points of ideal photon gas accretion and photon spheres
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DOI：
10.1103/physrevd.94.044053
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发表时间：
2016-01
影响因子：
5
通讯作者：
Yasutaka Koga;T. Harada
中科院分区：
文献类型：
--
作者：
Yasutaka Koga;T. Harada
在流体的吸积中，其速度可以从亚音速过渡到超音速。这种转变发生的点称为音速点，在数学上通常是特殊的。本文考虑了一般静态球对称时空中理想光子气体的稳态球对称吸积问题。我们的主要结果是，理想光子气体的状态方程在一般情况下导致其音速点与时空的光子球之间的对应。尽管物态方程依赖于时空的维度，但这种对应关系对任意维度的时空都成立。
In an accretion of fluid, its velocity may transit from subsonic to supersonic. The point at which such transition occurs is called sonic point and often mathematically special. We consider a steady-state and spherically symmetric accretion problem of ideal photon gas in general static spherically symmetric spacetime neglecting back reaction. Our main result is that the EOS of ideal photon gas leads to correspondence between its sonic point and the photon sphere of the spacetime in general situations. Despite of the dependence of the EOS on the dimension of spacetime, this correspondence holds for spacetimes of arbitrary dimensions.