Patrick Bourg - Linear and nonlinear QNMs on a hyperboloidal slice
Автор: Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Загружено: 2026-01-14
Просмотров: 15
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This lecture was part of the Workshop on "Hyperboloidal Foliations and their Application" held at the ESI January 12 to 16, 2026.
The detection of gravitational waves necessitates high-precision models for the black hole post-merger phase, including non-linear effects.
In this talk, I will provide a complete treatment of linear and quadratic quasinormal modes (QNMs and QQNMs) in second-order perturbation theory, in Schwarzschild spacetime. We include novel methods for extracting QNMs and QQNMs amplitudes using a Laplace transform treatment, allowing for the inclusion of arbitrary initial data.
A key feature of this framework is the adoption of a hyperboloidal foliation, which permits the clean and efficient extraction of mode amplitudes at both the future null infinity and the black-hole horizon. Finally, we will discuss the impact of this framework on modeling the complete second-order ringdown.
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