具有偶极微分转动边界的形变带电黑洞
Deforming charged black holes with dipolar differential rotation boundary
摘要：
受近年来对具有形变视界的新的渐近全局AdS $_4$黑洞研究的启发，我们考虑了AdS时空中Einstein-Maxwell引力的作用，构造了具有微分边界的带电形变AdS黑洞.与不带电的变形黑洞不同，对于任意温度，视界至少存在一个值。温度极值由电荷$q$确定，并将温度范围划分为若干部分。此外，我们还利用三维空间中的等距嵌入来研究视界几何。我们还研究了变形带电AdS黑洞的熵和准正规模。有趣的是，在一定温度下，存在两个视界半径不同的黑洞解族，但这两个黑洞具有相同的视界几何和熵。由于电荷$q$的存在，熵的相图更加复杂。
英文摘要：
Motivated by the recent studies of the novel asymptotically global AdS$_4$ black hole with deforming horizon, we consider the action of Einstein-Maxwell gravity in AdS spacetime and construct the charged deforming AdS black holes with differential boundary. In contrast to deforming black hole without charge, there exists at least one value of horizon for an arbitrary temperature. The extremum of temperature is determined by charge $q$ and divides the range of temperature into several parts. Moreover, we use an isometric embedding in the three-dimensional space to investigate the horizon geometry. We also study the entropy and quasinormal modes of deforming charged AdS black hole. It is interesting to find there exist two families of black hole solutions with different horizon radius for a fixed temperature, but these two black holes have same horizon geometry and entropy. Due to the existence of charge $q$, the phase diagram of entropy is more complicated.
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