No dynamics in the extremal Kerr throat
No dynamics in the extremal Kerr throat
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DOI：
10.1088/1126-6708/2009/09/044
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发表时间：
2009-06
影响因子：
5.4
通讯作者：
A. Amsel;G. Horowitz;D. Marolf;M. Roberts
中科院分区：
文献类型：
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作者：
A. Amsel;G. Horowitz;D. Marolf;M. Roberts
在Kerr/CFT猜想的启发下，我们探索了真空广义相对论的解，它的渐近行为与极端的Kerr喉咙(有时称为近视界极端Kerr(NHEK)几何)的解一致。我们证明了所有这些解对于Nhek几何本身都是微分同胚的。逻辑分两步进行。我们首先证明，对于任何具有Nhek渐近性的解，某些电荷必须在任何时候都为零。然后我们对这些电荷进行详细分析，以求线性化的解。虽然人们可以选择相关的电荷在最初的任何时间消失，但这些电荷是不守恒的。因此，要求这些费用在任何时候都不存在是一个更强有力的条件。我们证明了所有满足这个条件的解都是Nhek度量的微分同胚解。
Motivated by the Kerr/CFT conjecture, we explore solutions of vacuum general relativity whose asymptotic behavior agrees with that of the extremal Kerr throat, sometimes called the Near-Horizon Extreme Kerr (NHEK) geometry. We argue that all such solutions are diffeomorphic to the NHEK geometry itself. The logic proceeds in two steps. We first argue that certain charges must vanish at all times for any solution with NHEK asymptotics. We then analyze these charges in detail for linearized solutions. Though one can choose the relevant charges to vanish at any initial time, these charges are not conserved. As a result, requiring the charges to vanish at all times is a much stronger condition. We argue that all solutions satisfying this condition are diffeomorphic to the NHEK metric.