An Analytical Approach to Asymmetric Binary Waveform Modeling
par
Amphithéâtre Léon Motchane
IHES
Séminaire Amplitudes et Gravitation sur l'Yvette (IHES/IPhT)
The upcoming LISA mission will be sensitive to asymmetric binary black hole mergers. The self-force formalism generates waveform models by expanding in the small mass ratio, where accuracy requirements necessitate results up to second order. This problem is predominantly tackled with numerical methods, which are notoriously challenging. Complementing these methods with analytical approximations (e.g., around the Newtonian limit) can significantly reduce computational costs and yield independent benchmarks. Motivated by this, I will introduce analytical self-force theory and present the most recent advancements in second-order calculations. I will also present the latest version of the Teukolsky package within the Black Hole Perturbation Toolkit. This package has been greatly expanded to facilitate analytical calculations in self-force and black hole perturbation theory, and has recently found applications in scattering.
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