Resonant islands of effective-one-body dynamics

We study the chaotic signatures of geodesic dynamics a nonspinning test particle in effective-one-body (EOB) formalism for inspiral process spinning binary black holes. first show that second-order post-Newtonian (2PN) EOB is nonintegrable by demonstrating metric does not satisfy criterion existence Carter constant. then employ numerical to find plateaus rotation curve, which are associated with Birkhoff islands Poincar\'e surface section, signifying system. Our results chaos dynamics, especially regime interest Kerr bounds component holes hold. also behavior more obvious as spin parameter $a$ deformed background increases. can help uncover implications dynamical gravitational wave astronomy. Finally, we present some preliminary due corrections at 3PN order.