Electromagnetic-gravitational perturbations of Kerr–Newman spacetime: The Teukolsky and Regge–Wheeler equations
Electromagnetic-gravitational perturbations of Kerr–Newman spacetime: The Teukolsky and Regge–Wheeler equations
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DOI：
10.1142/s0219891622500011
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发表时间：
2020-02
影响因子：
0.7
通讯作者：
Elena Giorgi
中科院分区：
文献类型：
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作者：
Elena Giorgi
推导了电磁-引力耦合扰动下克尔-纽曼时空线性稳定性的方程。这些方程推广了著名的Teukolsky方程对于Kerr的曲率摄动和Regge-Wheeler方程对于Reissner-Nordström的度规摄动。由于钱德拉塞卡所说的“自旋-1和自旋-2场之间耦合的明显不溶性”，克尔-纽曼时空的稳定性无法通过模式中的标准分解得到。由于不可能解耦引力场和电磁场的模式，控制Kerr-Newman线性稳定性的方程以前没有得到。利用应用于Kerr的张量方法，我们得到了Kerr - newman扰动的一组广义Regge-Wheeler方程，该方程适用于用物理空间方法研究线性化稳定性。物理空间分析克服了自旋-1和自旋-2场耦合的问题，是对Kerr-Newman黑洞稳定性的解析证明的第一步。
We derive the equations governing the linear stability of Kerr–Newman spacetime to coupled electromagnetic-gravitational perturbations. The equations generalize the celebrated Teukolsky equation for curvature perturbations of Kerr, and the Regge–Wheeler equation for metric perturbations of Reissner–Nordström. Because of the “apparent indissolubility of the coupling between the spin-1 and spin-2 fields”, as put by Chandrasekhar, the stability of Kerr–Newman spacetime cannot be obtained through standard decomposition in modes. Due to the impossibility to decouple the modes of the gravitational and electromagnetic fields, the equations governing the linear stability of Kerr–Newman have not been previously derived. Using a tensorial approach that was applied to Kerr, we produce a set of generalized Regge–Wheeler equations for perturbations of Kerr–Newman, which are suitable for the study of linearized stability by physical space methods. The physical space analysis overcomes the issue of coupling of spin-1 and spin-2 fields and represents the first step towards an analytical proof of the stability of the Kerr–Newman black hole.