Solutions to the Dynamics of Spinning, Eccentric Binary Black Holes

by Sashwat Tanay (LUTH - Paris Observatory)

Wednesday Jan 29, 2025, 2:45 PM → 4:00 PM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Séminaire Amplitudes et Gravitation sur l'Yvette (IHES/IPhT)

Accurate and efficient modeling of binary black holes (BBHs) is crucial for detecting gravitational waves (GWs) they emit. Closed-form solutions to these systems in their initial inspiral state are highly sought after and have been worked out by many groups in the past few decades. Most of these solutions are valid only in certain limits (small eccentricity, zero spins, equal mass binary, etc). In this talk, we will discuss our solution for the most general post-Newtonian (PN) BBH system (with arbitrary masses, eccentricity, and spins). Two newly discovered constants of motion, along with the action-angle variables of these BBHs will also be presented. Throughout, we will confine ourselves to 1.5PN and 2PN orders.

 

 

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