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arXiv 1307.7315gr-qchep-th
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慢转极限下Kerr-Newman黑洞的标量、电磁和引力微扰

Scalar, Electromagnetic and Gravitational Perturbations of Kerr-Newman Black Holes in the Slow-Rotation Limit

Paolo Pani, Emanuele Berti, Leonardo Gualtieri

摘要:

在爱因斯坦-麦克斯韦理论中,根据经典的唯一性定理,最一般的稳态黑洞解是轴对称的克尔-纽曼度规,它由三个参数定义:质量、自旋和电荷。克尔-纽曼几何中引力和电磁扰动的径向和角度依赖性似乎不可分离。在本文中,我们绕过这个问题,通过研究标量,电磁和引力扰动的Kerr-Newman黑洞在慢转极限。我们扩展了最近一封信[arXiv:1304.1160]中提出的分析(并提供了详细信息)。工作在线性顺序的自旋,我们提出了第一个详细的推导的轴向和极微扰方程的引力电磁的情况下,我们计算相应的准正规模式的任何值的电荷。我们的研究是Kerr-Newman度规的第一个自洽稳定性分析,原则上它可以扩展到小旋转参数下的任何阶。我们发现的数值证据表明,轴向和极性部门是等谱在第一顺序的自旋,并推测这一结果的可能影响。

英文摘要:

In Einstein-Maxwell theory, according to classic uniqueness theorems, the most general stationary black-hole solution is the axisymmetric Kerr-Newman metric, which is defined by three parameters: mass, spin and electric charge. The radial and angular dependence of gravitational and electromagnetic perturbations in the Kerr-Newman geometry do not seem to be separable. In this paper we circumvent this problem by studying scalar, electromagnetic and gravitational perturbations of Kerr-Newman black holes in the slow-rotation limit. We extend (and provide details of) the analysis presented in a recent Letter [arXiv:1304.1160]. Working at linear order in the spin, we present the first detailed derivation of the axial and polar perturbation equations in the gravito-electromagnetic case, and we compute the corresponding quasinormal modes for any value of the electric charge. Our study is the first self-consistent stability analysis of the Kerr-Newman metric, and in principle it can be extended to any order in the small rotation parameter. We find numerical evidence that the axial and polar sectors are isospectral at first order in the spin, and speculate on the possible implications of this result.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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