标题： 带电 Randall Sundrum 黑洞近视界极限周围的扰动 显示英文标题

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

摘要： 在之前的一篇论文中，我们确定了在单个膜的Randall-Sundrum模型中，相对于膜上的Maxwell场带电的极端膜世界黑洞的近视界极限。本文很大程度上是对那项工作的扩展。考虑了相同的黑洞。建立了围绕近视界极限的度量展开，并确定了前两个次主导阶的修正项。发现即使近视界度量的$Ads_{2}$对称性被修正项破坏，修正后的体度量仍然可以通过一个膜进行切分。膜上的诱导度量被确定到第二修正阶，并与4d广义相对论的预测进行了比较。发现大黑洞渐近于极端Reissner-Nordström解，因此在此极限下与4d广义相对论一致。 显示英文摘要

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 Nordstr\"om solution and thus agreement with 4d General Realtivity is obtained in this limit.