Progress in post-Newtonian self-force at second order in the mass-ratio
APA
Kavanagh, C. (2021). Progress in post-Newtonian self-force at second order in the mass-ratio. Perimeter Institute. https://pirsa.org/21060046
MLA
Kavanagh, Chris. Progress in post-Newtonian self-force at second order in the mass-ratio. Perimeter Institute, Jun. 09, 2021, https://pirsa.org/21060046
BibTex
@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}} }
Max Planck Society
Talk Type
Subject
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.