PIRSA:21060046 Conference Other

DOI10.48660/21060046

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

Kavanagh, C. (2021). Progress in post-Newtonian self-force at second order in the mass-ratio. Perimeter Institute. https://pirsa.org/21060046

Kavanagh, Chris. Progress in post-Newtonian self-force at second order in the mass-ratio. Perimeter Institute, Jun. 09, 2021, https://pirsa.org/21060046 

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

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.

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