论文标题
Kerr黑洞的二阶扰动：度量标准的重建
Second Order Perturbations of Kerr Black Holes: Reconstruction of the Metric
论文作者
论文摘要
由二进制黑洞合并的引力波观测的激励，我们提出了一个程序，以计算Kerr黑洞周围的领先顺序非线性重力波相互作用。我们描述了用于得出二阶扰动方程的形式主义。我们开发了一个程序，使我们能够仅从对解决方案的知识到Teukolsky方程的一阶度量扰动，而无需Hertz电位。最后，我们在Kerr的一阶准正常模式的渐近极限中说明了这种度量重建程序。在同伴论文中，我们提出了这些思想的数值实施。
Motivated by gravitational wave observations of binary black hole mergers, we present a procedure to compute the leading order nonlinear gravitational wave interactions around a Kerr black hole. We describe the formalism used to derive the equations for second order perturbations. We develop a procedure that allows us to reconstruct the first order metric perturbation solely from knowledge of the solution to the first order Teukolsky equation, without the need of Hertz potentials. Finally, we illustrate this metric reconstruction procedure in the asymptotic limit for the first order quasi-normal modes of Kerr. In a companion paper, we present a numerical implementation of these ideas.
