New look at black holes: Existence of universal horizons
New look at black holes: Existence of universal horizons
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黑洞的新视角：普遍视界的存在
DOI：
10.1103/physrevd.91.024047
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发表时间：
2014-10
影响因子：
5
通讯作者：
Wang Anzhong
中科院分区：
文献类型：
--
作者：
Lin Kai;Goldoni O.;da Silva M. F.;Wang Anzhong
本文研究了在给定的静态时空中普遍视界的存在性，发现当测试Khronon场的速度变得无穷大时，普遍视界可以显式地求解，此时普遍视界与Khronon场的健全视界重合。选择与khronon对齐的类时坐标，静态度规具有简单的形式，从中可以清楚地看出，度规在Killing视界处没有奇异性，但在普适视界处变得奇异。将这些公式应用于三个著名的黑洞解，即Schwarzschild、Schwarzschild anti-de Sitter和Reissner-Nordstr“om，我们发现在所有这些解中，普遍视界都存在，并且总是在Killing视界之内。特别地，在Eddington-Finkelstein和Painleve-Gullstrand坐标中，当穿过Killing和通用视界时，度量不是奇异的，khronon的剥离行为仅在通用视界处被发现，由此，我们表明，从剥离计算的宇宙视界的表面重力值-的khronon匹配的行为与最近由Cropp，Liberati，Mohd和Visser给出的协变定义。
In this paper, we study the existence of universal horizons in a given static spacetime, and find that the test khronon field can be solved explicitly when its velocity becomes infinitely large, at which point the universal horizon coincides with the sound horizon of the khronon. Choosing the timelike coordinate aligned with the khronon, the static metric takes a simple form, from which it can be seen clearly that the metric is free of singularity at the Killing horizon, but becomes singular at the universal horizon. Applying such developed formulas to three well-known black hole solutions, the Schwarzschild, Schwarzschild anti-de Sitter, and Reissner-Nordstr\"om, we find that in all these solutions universal horizons exist and are always inside the Killing horizons. In particular, in the Eddington-Finkelstein and Painleve-Gullstrand coordinates, in which the metrics are not singular when crossing both of the Killing and universal horizons, the peeling-off behavior of the khronon is found only at the universal horizons, whereby we show that the values of surface gravity of the universal horizons calculated from the peeling-off behavior of the khronon match with those obtained from the covariant definition given recently by Cropp, Liberati, Mohd and Visser.
DOI：
10.1017/9781009253161
发表时间：
2023-02
期刊：
--
影响因子：
--
作者：
S. Hawking;G. Ellis
通讯作者：
S. Hawking;G. Ellis
影响因子：
5
作者：
E. Barausse;T. Sotiriou
通讯作者：
E. Barausse;T. Sotiriou