Existence and stability of marginally trapped surfaces in black-hole spacetimes
Existence and stability of marginally trapped surfaces in black-hole spacetimes
复制标题
黑洞时空中边缘俘获面的存在性和稳定性
作者：
D. Pook;O. Birnholtz;B. Krishnan;E. Schnetter
边缘外囚禁表面(Motss，或简称边缘表面)通常用于黑洞时空的数值模拟。它们是在模拟进行期间准本地实时定位和表征黑洞的无价工具。人们通常认为，MOTS可能在时间演变中表现出不可预测的行为；现有的MOTS可能会消失，而新的MOTS可能会在没有任何明显原因的情况下出现。在本文中，我们证明了MOTS的行为实际上是完全可预测的，并且它的行为由一个实参数--稳定性参数决定，该参数可以在数值模拟过程中被监控。我们演示了稳定性参数的用途，以充分理解在二元黑洞初始数据中可能存在的各种边缘表面。我们还开发了一种新的地平仪，能够定位高度扭曲的边缘表面，并且我们表明，即使在这些情况下，稳定性参数也可以完美地预测边缘表面的存在和稳定性。
Marginally outer trapped surfaces (MOTSs, or marginal surfaces in short) are routinely used in numerical simulations of black hole spacetimes. They are an invaluable tool for locating and characterizing black holes quasi-locally in real time while the simulation is ongoing. It is often believed that a MOTS can behave unpredictably under time evolution; an existing MOTS can disappear, and a new one can appear without any apparent reason. In this paper we show that in fact the behavior of a MOTS is perfectly predictable and its behavior is dictated by a single real parameter, the \emph{stability parameter}, which can be monitored during the course of a numerical simulation. We demonstrate the utility of the stability parameter to fully understand the variety of marginal surfaces that can be present in binary black hole initial data. We also develop a new horizon finder capable of locating very highly distorted marginal surfaces and we show that even in these cases, the stability parameter perfectly predicts the existence and stability of marginal surfaces.
影响因子：
5
作者：
Abbott, B. P.;Abbott, R.;Zlochower, Y.
通讯作者：
Zlochower, Y.