Slow Time Derivatives of the Lorenz Gauge Metric Perturbation

          @misc{ scivideos_PIRSA:21060037,
            doi = {10.48660/21060037},
            url = {https://pirsa.org/21060037},
            author = {Durkan, Leanne},
            keywords = {Other Physics},
            language = {en},
            title = {Slow Time Derivatives of the Lorenz Gauge Metric Perturbation},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060037 see, \url{https://scivideos.org/pirsa/21060037}}
          }
          

Abstract

One contribution to the second-order self-force calculations is the derivative of the first-order metric perturbation with respect to the slow inspiral time. Previous methods to compute this involve non-compact source terms which are challenging to work with. We employ the method of partial annihilators to obtain higher-order differential equations with a compact source, and solve these equations for the slowtime derivatives of the Regge-Wheeler and Zerilli master functions for circular orbits. We then use a gauge transformation to compute the slowtime derivative of the first-order Lorenz gauge metric perturbation.