Year: 2023
Type: article
Abstract: We establish a new relation between classical observables for scattering and bound orbits of a massive probe particle in a Kerr background. We find an exact representation of the Hamilton-Jacobi action in terms of the conserved charges that admits an analytic continuation, for both the radial and polar contributions, for a general class of geodesics beyond the equatorial case. Remarkably, this allows to extend the boundary to a bound dictionary and provides an efficient method to compute the deflection angles and time delay for scattering orbits, as well as frequency ratios for bound orbits, in the probe limit but at all orders in the perturbative expansion.
Authors: Riccardo Gonzo, Canxin Shi
Institution: University of Edinburgh
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Award: G5577266745
OpenAlex ID: W4388048102