论文标题
Kerr-Ads黑洞的内部体积
The Interior Volume of Kerr-AdS Black Holes
论文作者
论文摘要
克里斯托多洛（Christodoulou）和罗维利（Rovelli）定义的黑洞内部体积表现出许多令人惊讶的特征。例如，即使在霍金蒸发下，它也会随着时间而增加。对于某些黑洞，内部体积甚至都不是其区域的单调增加功能，这意味着一个人只能从外面看，就无法推断黑洞的大小。然而，这种体积的概念在全息图中很有用，因为它似乎是边界场理论的复杂性是双重的。在这项研究中，我们研究了4维kerr-ads黑洞的内部体积的性质，固定了质量参数$ m $或物理质量$ e $，同时改变了宇宙常数的值。我们发现，作为径向坐标的函数的音量具有“双叶”，同时固定$ m $，而修复$ e $ e $ y $产量行为在质量上与渐近平面的情况相似。我们简要评论了Kerr-Ads黑洞的全息复杂性。
The interior volume of black holes as defined by Christodoulou and Rovelli exhibits many surprising features. For example, it increases with time, even under Hawking evaporation. For some black holes, the interior volume is not even a monotonic increasing function of its area, which means one cannot infer how large a black hole is by just looking from the outside. Such a notion of volume, however, turns out to be useful in the context of holography, as it seems to be dual to the complexity of the boundary field theory. In this study, we investigate the properties of the interior volume of 4-dimensional Kerr-AdS black holes, fixing either the mass parameter $M$ or the physical mass $E$, whilst varying the values of the cosmological constant. We found that the volume as a function of the radial coordinate features a "double lobe" while fixing $M$, whereas fixing $E$ yields behaviors that are qualitatively similar to the asymptotically flat case. We briefly comment on the holographic complexity of Kerr-AdS black holes.
