{
  "abstract": "The detection of gravitational waves has opened a new era of precision studies of gravity, demanding advances in our understanding of compact binary dynamics. Scattering amplitudes provide a powerful framework for studying these systems using methods from high-energy physics. In this thesis, we study classical black hole scattering, systematically including spin---an important feature of real astrophysical systems---to describe Kerr black hole dynamics. We model Kerr black holes as massive point particles in finite-spin representations and compute their scattering dynamics perturbatively. We resolve an ambiguity mixing classical and quantum contributions using our spin interpolation method, obtaining a classical amplitude for Kerr black hole scattering through quartic order in spin at third post-Minkowskian order. From this amplitude, we extract the gauge-invariant radial action, enabling the computation of classical non-aligned-spin observables---such as the linear and angular impulses---using covariant Dirac brackets. The amplitude exhibits spin-shift symmetry, remaining invariant under a shift of the black hole spin by the momentum transfer. Motivated by this property, we study the conserved quantities governing the scattering process and show that the dynamics of a probe black hole remains integrable at asymptotic infinity through quartic order in probe spin. Finally, we show that the quartic-in-spin radial action for a probe black hole in a Kerr background, at any order in perturbation theory, is completely fixed by the aligned-spin dynamics, provided that it satisfies asymptotic integrability and spin-shift symmetry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02272",
  "author_total": 1,
  "authors": [
    {
      "name": "Dogan Akpinar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/632yqmcggw5mk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02272",
  "fulltext_url": null,
  "id": "632yqmcggw5mk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02272",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02272",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/632yqmcggw5mk.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.02272",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02272"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "An Amplitudes Approach to Spinning Black Hole Scattering",
  "title_text": "An Amplitudes Approach to Spinning Black Hole Scattering",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/632yqmcggw5mk",
  "venue": "arXiv",
  "versions": []
}