Speaker
Description
We will discuss how to use the wordline formalism to compute scattering and bound observables for the classical two-body problem in general relativity, with particular emphasis on the case of Kerr black hole solutions. First, new classical Dirac brackets will be introduced to streamline the calculation of scattering observables for spinning binaries. Then, we will study the geodesic solution and higher order corrections in the framework of gravitational self-force theory, highlighting the importance of the resummation of the perturbative expansion. Finally, I will summarize the status of scattering-to-bound maps, which are crucial tools to extract relevant gauge-invariant bound observables for the inspiral regime of Kerr black holes binaries.