PIRSA:21060037

Slow Time Derivatives of the Lorenz Gauge Metric Perturbation

Durkan, L. (2021). Slow Time Derivatives of the Lorenz Gauge Metric Perturbation. Perimeter Institute. https://pirsa.org/21060037

Durkan, Leanne. Slow Time Derivatives of the Lorenz Gauge Metric Perturbation. Perimeter Institute, Jun. 09, 2021, https://pirsa.org/21060037 

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

Leanne Durkan

National University of Ireland

Talk number
PIRSA:21060037
Collection
Talk Type
Subject
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.