Journal
PHYSICAL REVIEW D
Volume 103, Issue 10, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.103.104017
Keywords
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Funding
- National Science Foundation (NSF) [PHY-1912171]
- Simons Foundation
- Canadian Institute for Advanced Research (CIFAR)
- NSF [DMS-2006741]
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Motivated by gravitational wave observations of binary black hole mergers, the paper presents a procedure to compute the leading-order nonlinear gravitational wave interactions around a Kerr black hole. The formalism used to derive the equations for second-order perturbations is described, and a procedure is developed to reconstruct the first-order metric perturbation solely from the solution to the first-order Teukolsky equation. The metric reconstruction procedure is illustrated in the asymptotic limit for the first-order quasinormal modes of Kerr.
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.
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