Speaker
Jordan Moxon
(Cornell University)
Description
We present an update to the multiscale analytic approximation method for computing EMRI dynamics. The multiscale method takes advantage of the separation of the radiation-reaction timescale to the orbital timescale. By appropriately accounting for the slow evolution of the system, we suggest a framework for computing the waveform with only $\mathcal{O}(\epsilon)$ phase error. This framework will also be useful for computing quantities relevant for comparisons to Post-Newtonian or Numerical Relativity computations to second order in the mass ratio. Full second-order solution requires the introduction of `puncture' regions near the horizon, near the small companion, and far from the binary, which are related to the interaction with the inspiral via a matched asymptotic expansion. We propose a geometric optics approximation for the region far from the inspiral.
Primary author
Jordan Moxon
(Cornell University)
Co-authors
Adam Pound
(University of Southampton)
Prof.
Eanna Flanagan
(Cornell University)
Tanja Hinderer
(AEI)
