PIRSA:21060037 Conference Other

DOI10.48660/21060037

Conference/School: The 24th Capra meeting on Radiation Reaction in General Relativity

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}}
}

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.

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