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.
