Nishimura, N. (2021). Kerr self-force via elliptic PDEs: Background and theory (part 1). Perimeter Institute for Theoretical Physics. https://pirsa.org/21060007
MLA
Nishimura, Nami. Kerr self-force via elliptic PDEs: Background and theory (part 1). Perimeter Institute for Theoretical Physics, Jun. 07, 2021, https://pirsa.org/21060007
BibTex
@misc{ scivideos_PIRSA:21060007,
doi = {10.48660/21060007},
url = {https://pirsa.org/21060007},
author = {Nishimura, Nami},
keywords = {Other Physics},
language = {en},
title = {Kerr self-force via elliptic PDEs: Background and theory (part 1)},
publisher = {Perimeter Institute for Theoretical Physics},
year = {2021},
month = {jun},
note = {PIRSA:21060007 see, \url{https://scivideos.org/pirsa/21060007}}
}
Our long-term goal is to calculate the Lorenz gauge gravitational self-force for an extreme mass-ratio binary system in Kerr spacetime. Past work in the time-domain has encountered time instabilities for the two lowest modes m=0 and m=1. In order to overcome this problem, we enter the frequency-domain, which introduces elliptic PDEs. To develop an appropriate scheme, we first investigate the scalar self-force in Kerr spacetime by separating the Φ and t variables. To calculate the self-force, we use the effective source method. This presentation discusses the background and theory, which will be followed by a discussion of numerical methods in a later presentation.