标题： 关于爱因斯坦-麦克斯韦-标量理论中Gibbons-Maeda黑洞的扰动 显示英文标题

标题： On The Perturbations of Gibbons-Maeda Black Holes in Einstein-Maxwell-Dilaton Theories

摘要： 在广义相对论和爱因斯坦-麦克斯韦理论中，对黑洞背景的扰动研究有着悠久的历史，可以追溯到20世纪50年代Regge和Wheeler的工作。 作为对超引力中黑洞扰动更广泛研究的一部分，我们在此描述了在爱因斯坦-麦克斯韦-标量理论的一类中，围绕Gibbons-Maeda静态带电黑洞的扰动结果。 我们的分析遵循Chandrasekhar和Xanthopoulos为Reissner-Nordström黑洞扰动开发的一般策略。 在这里，分析要复杂得多，因为标量场的存在，它与其他极化模式耦合。 尽管如此，我们发现这个问题是完全可解的，也就是说，可以分离变量，并最终用对角化的二阶径向方程来描述所有的扰动。 我们能够证明所有Gibbons-Maeda黑洞解的模式稳定性。 显示英文摘要

摘要： The study of perturbations around black hole backgrounds in general relativity and Einstein-Maxwell theory has a long history, going back to the work of Regge and Wheeler in the 1950s. As part of a broader investigation of perturbations around black holes in supergravity, we describe here our results for the perturbations around the Gibbons-Maeda static charged black holes in a class of Einstein-Maxwell-Dilaton theories. Our analysis follows the general strategy developed by Chandrasekhar and Xanthopoulos for the perturbations of the Reissner-Nordstr\"om black hole. Here, the analysis is considerably more involved, because of the presence of the dilaton field, which couples to the other polar modes. We nonetheless find that the problem is completely solvable, in the sense that one can separate variables and eventually describe all the perturbations in terms of diagonalised second-order radial equations. We are able to prove the mode stability of all the Gibbons-Maeda black hole solutions.