Fast Self-Forced Inspirals into a Rotating Black Hole

          @misc{ pirsa_PIRSA:21060010,
            doi = {10.48660/21060010},
            url = {https://pirsa.org/21060010},
            author = {Lynch, Philip},
            keywords = {Other},
            language = {en},
            title = {Fast Self-Forced Inspirals into a Rotating Black Hole},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060010 see, \url{https://pirsa.org}}
          }
          

Abstract

Analysing the data for the upcoming LISA mission will require extreme mass ratio inpsiral (EMRI) waveforms waveforms that are not only accurate but also fast to compute and extensive in the parameter space. To this end, we present a method for rapidly calculating the inspiral trajectory of EMRIs with a spinning primary. We extend the work of van de Meent and Warburton (2018) by applying the technique of near-identity (averaging) transformations (NITs) to the osculating geodesic equations for a rotating (Kerr) black hole, resulting in equations of motion that do not explicitly depend upon the orbital phases. This allows us accurately to calculate the evolving constants of motion, orbital phases and waveform phase to within subradian accuracy, while dramatically reducing computational cost. We have implemented this scheme with an interpolated gravitational self-force model in both the equatorial and the spherical cases as a proof of concept, and present the first inspirals in Kerr spacetime to include all first order self-force effects.