Extension of photon surfaces and their area: Static and stationary spacetimes
Extension of photon surfaces and their area: Static and stationary spacetimes
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DOI：
10.1093/ptep/ptx072
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发表时间：
2017-04
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影响因子：
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通讯作者：
H. Yoshino;K. Izumi;T. Shiromizu;Yoshimune Tomikawa
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文献类型：
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作者：
H. Yoshino;K. Izumi;T. Shiromizu;Yoshimune Tomikawa
我们提出了一个新的概念，横向捕获表面（TTS），作为一个静态光子表面的扩展表征强引力区域的静态/静止时空的光子行为。TTS被定义为一个静态/静止的类时表面$S$，其空间截面是一个封闭的两个表面，使得从$S$上任意点切向$S$发射的任意光子在$S $上传播或向$S$内部传播。我们研究了静态时空和轴对称静态时空的TTS的性质。特别地，在一定条件下，证明了TTS的面积A_0 $有界为A_0\le4\pi（3GM）^2$，其中G$为牛顿常数，M$为总质量. TTS和我们提出的松散捕获表面[arXiv：1701.00564]之间的连接也进行了检查。
We propose a new concept, the transversely trapping surface (TTS), as an extension of the static photon surface characterizing the strong gravity region of a static/stationary spacetime in terms of photon behavior. The TTS is defined as a static/stationary timelike surface $S$ whose spatial section is a closed two-surface, such that arbitrary photons emitted tangentially to $S$ from arbitrary points on $S$ propagate on or toward the inside of $S$. We study the properties of TTSs for static spacetimes and axisymmetric stationary spacetimes. In particular, the area $A_0$ of a TTS is proved to be bounded as $A_0\le 4\pi(3GM)^2$ under certain conditions, where $G$ is the Newton constant and $M$ is the total mass. The connection between the TTS and the loosely trapped surface proposed by us [arXiv:1701.00564] is also examined.