Date: 19 May 2022, 10:00am

Speaker:  Alejandro Cárdenas-Avendaño

Affiliation: Princeton University

Tencent/VooV Meeting ID: 778-9225-7517      

Online Meeting Link: https://meeting.tencent.com/dm/9uaGFjZhZL8A

Abstract:

One of the important targets for the future space-based gravitational wave observatory LISA is extreme mass ratio inspirals (EMRIs), where long and accurate waveform modeling is necessary for detection and characterization. When modeling the dynamics of an EMRI, several effects need to be included, such as the modifications caused by an external tidal field. The impact of such perturbations will generally break integrability at resonance, and can produce significant dephasing from an unperturbed system. In this talk, I will show how we use a Newtonian analogue of a Kerr black hole to study the effect of an external tidal field on the dynamics and the gravitational waveform. I will present a numerical framework that takes advantage of the integrability of the background system to evolve it with a symplectic splitting integrator and compute approximate gravitational waveforms to estimate the time scale over which the perturbation affects the dynamics. I will show how different entry points into resonance lead to different dynamics and the numerical scale (relative to the mass ratio) for when the tidal perturbation’s impact is relevant. If these effects are not accounted for, they could lead to incorrect parameter estimation or fundamental biases when studying general relativity.