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arXiv 1105.4739hep-th
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带电Randall Sundrum黑洞近视界附近的扰动

Perturbations around the near horizon limit of charged Randall Sundrum black holes

Alexander Kaus

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摘要：

在前一篇文章中，我们在单膜Randall-Sundrum模型中确定了一个关于膜上Maxwell场带电的极膜世界黑洞的近视界极限。本文在很大程度上是这项工作的延伸。同样的黑洞被考虑。在视界附近建立了一个度规展开式，并确定了前两个次超前阶的修正项。研究发现，即使修正项破坏了近视界度规的$Ads_{2}$对称性，修正后的体度规仍然可以被膜切片。膜上的诱导度规被确定为第二修正阶，并与4d广义相对论的预测进行了比较。发现大黑洞渐近于Reissner Nordström极值解，从而在此极限下得到与4d广义实性的一致性.

英文摘要：

In a previous paper we determined the near horizon limit of an extremal brane world black hole, charged with respect to a Maxwell field on the brane, in the single brane Randall-Sundrum model. This paper is largely an extension of that work. The same black hole is considered. A metric expansion around the near horizon limit is set up and the correction terms of the first two subleading orders are determined. It is found that the corrected bulk metric can still be sliced by a brane even though the $Ads_{2}$ symmetry of the near horizon metric is broken by correction terms. The induced metric on the brane is determined to second correction order and compared with the predictions of 4d General Relativity. It is found that large black holes asymptote the extremal Reissner Nordström solution and thus agreement with 4d General Realtivity is obtained in this limit.

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