论文标题
旋转黑洞的可分离电磁扰动
Separable electromagnetic perturbations of rotating black holes
论文作者
论文摘要
我们确定了黑洞空位上矢量波方程解决方案解决方案的一组电位。赫兹电势产生了代表麦克斯韦方程的物理解，满足Teukolsky方程的物理解的Lorenz仪表电磁载体电位，并通过直接且可分开的反转关系与Maxwell标量有关。基于GHP形式主义，我们的构建避免了对Ansatz模式的需求，并导致代表静态和非静态解决方案的潜力。作为一个明确的示例，我们将过程专门为Kerr Spacetime的模式进行了扰动，并在此过程中与先前的结果建立了联系。
We identify a set of Hertz potentials for solutions to the vector wave equation on black hole spacetimes. The Hertz potentials yield Lorenz gauge electromagnetic vector potentials that represent physical solutions to the Maxwell equations, satisfy the Teukolsky equation, and are related to the Maxwell scalars by straightforward and separable inversion relations. Our construction, based on the GHP formalism, avoids the need for a mode ansatz and leads to potentials that represent both static and non-static solutions. As an explicit example, we specialise the procedure to mode-decomposed perturbations of Kerr spacetime and in the process make connections with previous results.
