3–7 Jul 2023
Niels Bohr Institute
Europe/Copenhagen timezone

Kerr self-force via elliptic PDEs

3 Jul 2023, 12:00
20m
Chr. Hansen Auditorium (Niels Bohr Institute)

Chr. Hansen Auditorium

Niels Bohr Institute

Øster Farimagsgade 5

Speaker

Tommy Osburn (State University of New York at Geneseo)

Description

We are pursuing Lorenz gauge Kerr self-force calculations based on an m-mode scheme in the frequency domain. Prior hyperbolic partial differential equation (PDE) formulations encountered numerical instabilities involving unchecked growth in time; our method is based on elliptic PDEs, which do not exhibit instabilities of that kind. For proof of concept we calculated the self-force acting on a scalar charge in a circular orbit around a Kerr black hole, and progress towards the gravitational case will be discussed.

Presentation materials