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arXiv 0708.0240hep-th
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双地平线极限、AdS几何与熵函数

Double Horizon Limit, AdS Geometry and Entropy Function

H. Arfaei, R. Fareghbal

摘要:

我们开始从一个通用的度量,描述四维静态黑洞在任意的引力理论,并表明,AdS_2部分的近视界几何是双视界极限和有限性的后果。我们还表明,如果相同的条件被施加到运动方程的字段配置的近地平线的确定。这是通过证明在双视界极限场方程中,视界与空间的大部分解耦来实现的。解这些方程给出了近视界场的位形。它表明,这些解耦的方程可以得到一个行动,从原来的行动,通过应用双地平线条件。我们的结果与熵函数方法一致。

英文摘要:

We start from a generic metric which describes four dimensional stationary black holes in an arbitrary theory of gravity and show that the AdS_2 part of the near horizon geometry is a consequence of the double-horizon limit and finiteness . We also show that the field configurations of the near horizon are determined if the same conditions are applied to the equations of motion. This is done by showing that in the double-horizon limit field equations at the horizon decouple from the bulk of the space. Solving these equations gives the near horizon field configurations. It is shown that these decoupled equations can be obtained from an action derived from the original action by applying the double-horizon condition. Our results agree with the entropy function method.

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