PIRSA:21060039 Conference Other

DOI10.48660/21060039

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

Spiers, A. (2021). The second-order Teukolsky source in Schwarzschild.. Perimeter Institute. https://pirsa.org/21060039

Spiers, Andrew. The second-order Teukolsky source in Schwarzschild.. Perimeter Institute, Jun. 09, 2021, https://pirsa.org/21060039 

@misc{ pirsa_PIRSA:21060039,
  doi = {10.48660/21060039},
  url = {https://pirsa.org/21060039},
  author = {Spiers, Andrew},
  keywords = {Other},
  language = {en},
  title = {The second-order Teukolsky source in Schwarzschild.},
  publisher = {Perimeter Institute},
  year = {2021},
  month = {jun},
  note = {PIRSA:21060039 see, \url{https://pirsa.org}}
}

Abstract

Precise parameter extraction from EMRI signals requires, among other things, the dissipative piece of the second-order self-force in a Kerr background. We have shown how a new form of the second-order Teukolsky equation has a well-defined source in a highly regular gauge, and how to construct gauge invariant second-order quantities using a gauge fixing method. For the current prospective second-order self-force methods in Kerr solving the second-order Teukolsky equation will be a crucial step. In this talk, I show our progress in calculating the source in the second-order Teukolsky equation for quasi-circular orbits in Schwarzschild, and discuss how the source can be made more regular at future null infinity by transforming to the Bondi-Sachs gauge.

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