Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912134428884992 |
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| author | Gonzo, Riccardo Shi, Canxin |
| author_facet | Gonzo, Riccardo Shi, Canxin |
| contents | 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 $\mathcal{O}(G^6 s_1 s_2^4)$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09687 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations Gonzo, Riccardo Shi, Canxin High Energy Physics - Theory General Relativity and Quantum Cosmology 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 $\mathcal{O}(G^6 s_1 s_2^4)$. 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. |
| title | Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.09687 |