The second-order Teukolsky source in Schwarzschild.

          @misc{ scivideos_PIRSA:21060039,
            doi = {10.48660/21060039},
            url = {https://pirsa.org/21060039},
            author = {Spiers, Andrew},
            keywords = {Other Physics},
            language = {en},
            title = {The second-order Teukolsky source in Schwarzschild.},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060039 see, \url{https://scivideos.org/index.php/pirsa/21060039}}
          }
          

Abstract

Precise parameter extraction from EMRI signals requires, among other things, the dissipative piece of the second-order self-force in a Kerr background. We have shown how a new form of the second-order Teukolsky equation has a well-defined source in a highly regular gauge, and how to construct gauge invariant second-order quantities using a gauge fixing method. For the current prospective second-order self-force methods in Kerr solving the second-order Teukolsky equation will be a crucial step. In this talk, I show our progress in calculating the source in the second-order Teukolsky equation for quasi-circular orbits in Schwarzschild, and discuss how the source can be made more regular at future null infinity by transforming to the Bondi-Sachs gauge.