Work

Scattering and Bound Observables for Spinning Particles in Kerr Spacetime with Generic Spin Orientations

Year: 2024

Type: article

Abstract: We derive the radial action of a spinning probe particle in Kerr spacetime from the worldline formalism in the first-order form, focusing on linear in spin effects. We then develop a novel covariant Dirac bracket formalism to compute the impulse and the spin kick directly from the radial action, generalizing some conjectural results in the literature and providing ready-to-use expressions for amplitude calculations with generic spin orientations. This allows, for the first time, to find new covariant expressions for scattering observables in the probe limit up to O(G^{6}s_{1}s_{2}^{4}). Finally, we use the action-angle representation to compute the fundamental frequencies for generic bound orbits, including the intrinsic spin precession, the periastron advance, and the precession of the orbital plane.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.133.221401

Authors: Riccardo Gonzo, Canxin Shi

Institutions: University of Edinburgh, Chinese Academy of Sciences, Institute of Theoretical Physics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funders: National Natural Science Foundation of China, China Postdoctoral Science Foundation