Second-order perturbations of Kerr black holes: Formalism and reconstruction of the first-order metric
Second-order perturbations of Kerr black holes: Formalism and reconstruction of the first-order metric
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DOI：
10.1103/physrevd.103.104017
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发表时间：
2021-05-18
影响因子：
5
通讯作者：
Pretorius, Frans
中科院分区：
文献类型：
--
作者：
Loutrel, Nicholas;Ripley, Justin L.;Pretorius, Frans
受双黑洞合并引力波观测的启发，我们提出了一种计算Kerr黑洞周围的前阶非线性引力波相互作用的方法。我们描述了用于推导二阶微扰方程的形式。我们发展了一种程序，它允许我们仅根据一阶Teukolsky方程的解的知识来重构一阶度规微扰，而不需要赫兹势。最后，我们在Kerr一阶拟正则模的渐近极限下说明了这种度规重建过程。在一篇配套论文中[J.L.Ripley等人，Phys.Rev.D103,104018(2021年)]我们提出了这些想法的数字实现。
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 quasinormal modes of Kerr. In a companion paper [J. L. Ripley et al., Phys. Rev. D 103, 104018 (2021)] we present a numerical implementation of these ideas.