Progress in post-Newtonian self-force at second order in the mass-ratio

          @misc{ scivideos_PIRSA:21060046,
            doi = {10.48660/21060046},
            url = {https://pirsa.org/21060046},
            author = {Kavanagh, Chris},
            keywords = {Other Physics},
            language = {en},
            title = {Progress in post-Newtonian self-force at second order in the mass-ratio},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060046 see, \url{https://scivideos.org/pirsa/21060046}}
          }
          

Abstract

The lowered accuracy requirements at second order in the mass ratio greatly increases the utility of high-order post-Newtonian calculations at post-adiabatic order. In this talk I will present a methodology for solving the first- and second-order field equations using matched asymptotic expansions. As an application and test of the method, we solve the scalar wave equation sourced by a first order solution to the Regge-Wheeler equation with a particle moving in a circular orbit, and thus provide a construction of an analytic expansions of the Lorenz gauge metric perturbation.