Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities
Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities
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DOI：
10.1007/s10714-017-2323-7
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发表时间：
2017-11
影响因子：
2.8
通讯作者：
Ye Sle Cha;M. Khuri
中科院分区：
文献类型：
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作者：
Ye Sle Cha;M. Khuri
我们构造的转换，渐近AdS双曲型的初始数据到渐近平坦的初始数据，并保持相关的物理量。每当几何驱动的椭圆方程组有解时，这用于从渐进平坦领域中的对应项推导渐进AdS双曲设置中的几何不等式。这里处理的不等式涉及质量、角动量、电荷和视界面积。此外，新的质量-角动量不等式在此设置进行了说明和讨论。
We construct transformations which take asymptotically AdS hyperbolic initial data into asymptotically flat initial data, and which preserve relevant physical quantities. This is used to derive geometric inequalities in the asymptotically AdS hyperbolic setting from counterparts in the asymptotically flat realm, whenever a geometrically motivated system of elliptic equations admits a solution. The inequalities treated here relate mass, angular momentum, charge, and horizon area. Furthermore, new mass-angular momentum inequalities in this setting are conjectured and discussed.