Speaker
Description
In this talk we will review the methods used to perform numerical calculations of the self-force along scatter geodesics in black hole spacetimes. Starting with a general introduction to the calculation of the self-force by mode-sum regularisation, we will move on to discuss two extant numerical platforms for calculating the scalar-field self-force along scatter geodesics, one of which solves the field equation in the time-domain [Phys. Rev. D 106, 104031] and the other in the frequency-domain [Phys. Rev. D 108, 064017]. We will only highlight the basic merits and limitations of each approach here; for details of the numerical results obtained using these codes, see the following talk by O. Long. We then summarise some new approaches currently under development, including a detailed look at a novel method that uses the Gegenbauer reconstruction technique to resolve some shortcomings of the existing frequency-domain approach. We conclude by discussing the outlook for extending numerical scalar field calculations to the full gravitational self-force problem.
