论文标题
渐近上$ \ text {ads} _2 \ times s^{n-1} $ spaceTimes的共形无限方法
A conformal infinity approach to asymptotically $\text{AdS}_2\times S^{n-1}$ spacetimes
论文作者
论文摘要
众所周知，时空$ \ text {ads} _2 \ times s^2 $作为极端重新式 - nordstrom解决方案的“接近地平线”几何形状出现，因此，已经与ADS/CFT通信有关。由Juan Maldacena的猜想观点激励，[4]中的作者研究了渐近上$ \ text {ads} _2 \ times s^2 $ spacetimes满足无效能量条件的刚性。在本文中，我们基于共形无穷大的概念对渐近学采取完全不同，更一般的方法。这涉及对渐近抗DE保姆空间的平时形式相形无穷大的常规概念的自然修饰。结果，我们能够获得各种新结果，包括与[4]中的结果相似（但现在允许更高的维度和超过两个端）和拓扑审查的版本。
It is well known that the spacetime $\text{AdS}_2\times S^2$ arises as the `near horizon' geometry of the extremal Reisser-Nordstrom solution, and for that reason it has been studied in connection with the AdS/CFT correspondence. Motivated by a conjectural viewpoint of Juan Maldacena, the authors in [4] studied the rigidity of asymptotically $\text{AdS}_2\times S^2$ spacetimes satisfying the null energy condition. In this paper, we take an entirely different and more general approach to the asymptotics based on the notion of conformal infinity. This involves a natural modification of the usual notion of timelike conformal infinity for asymptotically anti-de Sitter spacetimes. As a consequence we are able to obtain a variety of new results, including similar results to those in [4] (but now allowing both higher dimensions and more than two ends) and a version of topological censorship.
