PIRSA:23050144

Chaos and resonances in EMRI (extreme mass ratio inspiral) dynamics

Pan, Z. (2023). Chaos and resonances in EMRI (extreme mass ratio inspiral) dynamics. Perimeter Institute. https://pirsa.org/23050144

Pan, Zhen. Chaos and resonances in EMRI (extreme mass ratio inspiral) dynamics. Perimeter Institute, May. 15, 2023, https://pirsa.org/23050144 

          @misc{ pirsa_PIRSA:23050144,
            doi = {10.48660/23050144},
            url = {https://pirsa.org/23050144},
            author = {Pan, Zhen},
            keywords = {Cosmology},
            language = {en},
            title = {Chaos and resonances in EMRI (extreme mass ratio inspiral) dynamics},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {may},
            note = {PIRSA:23050144 see, \url{https://pirsa.org}}
          }

Zhen Pan

Shanghai Jiao Tong University

Talk number
PIRSA:23050144
Collection
Talk Type
Subject
Abstract

EMRIs are one of the primary targets of spaceborne gravitational wave (GW) detectors and will be ideal GW sources for testing fundamental laws of gravity. In a generic non-Kerr spacetime,  the EMRI system  is non-integrable due to the lack of the Carter constant. As a result,  chaos along with resonance islands arise in these systems leaving a non-Kerr signature in the EMRI waveform as proposed in many previous studies. In this work, we systematically analyze the dynamics of an EMRI system near orbital resonances and we have derived an effective resonant Hamiltonian that describes the dynamics of the resonant degree of freedom  with the action-angle formalism. We have two major findings: (1) the chaotic orbits in general produce unique commensurate jumps in actions and (2) the EMRI orbits driven by radiation-reaction in general do not cross the resonance islands.

Zoom Link: https://pitp.zoom.us/j/95975225333?pwd=V05NZzQ3cE9neUZpN3RIOCt0UE5mZz09