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Instability of charged Lovelock black holes: Vector perturbations and scalar perturbations

机译:带电的Lovelock黑洞的不稳定性:矢量扰动和标量扰动

摘要

We examine the stability of charged Lovelock black hole solutions under vector-type and scalar-type perturbations. We find suitable master variables for the stability analysis; the equations for these variables are Schrödinger-type equations with two components, and these Schrödinger operators are symmetric. By these master equations, we show that charged Lovelock black holes are stable under vector-type perturbations. For scalar-type perturbations, we show the criteria for instability and check these numerically. In our previous paper [T. Takahashi, Prog. Theor. Phys. 125, 1289 (2011)], we have shown that nearly extreme black holes show instability under tensor-type perturbations. In this paper, we find that black holes with a small charge show instability under scalar-type perturbations even if they have a relatively large mass.
机译:我们研究了带电荷的Lovelock黑洞解在矢量类型和标量类型扰动下的稳定性。我们找到合适的主变量进行稳定性分析;这些变量的方程是具有两个分量的薛定ding型方程,这些薛定ding算子是对称的。通过这些主方程,我们证明带电的Lovelock黑洞在矢量类型的扰动下是稳定的。对于标量类型的摄动,我们给出了不稳定性的标准,并对其进行了数值检验。在我们以前的论文[T.高桥编理论。物理125,1289(2011)],我们已经表明,在张量类型的扰动下,几乎极端的黑洞都表现出不稳定性。在本文中,我们发现带有小电荷的黑洞即使在质量较大的情况下,在标量类型的扰动下仍表现出不稳定性。

著录项

  • 作者

    Takahashi Tomohiro;

  • 作者单位
  • 年度 2013
  • 总页数
  • 原文格式 PDF
  • 正文语种 en
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