{
  "abstract": "We derive the classical logarithmic soft graviton theorem for the scattering of massive particles in four-dimensional asymptotically flat spacetime using a position-space analysis of the Weyl tensor. Starting from the Iyer-Damour multipole solution in harmonic gauge, we obtain an infinite tower of antipodal matching relations across spatial infinity for all five Newman-Penrose Weyl scalars, at linear order in $G$ and for the leading matter-induced logarithms at order $G^2$. We connect the relation relevant to the logarithmic soft theorem to the radiative-gauge formulation of Boschetti-Campiglia and Compère-Robert. We then compute the required asymptotic fields directly from scattering data, including matter contributions and nonlinear effects responsible for graviton drag. Combining these results with the Newman-Penrose evolution equations yields position-space proofs of the classical leading and logarithmic soft graviton theorems, independently confirming the frequency-space derivation of the latter originally performed by Laddha and Sen.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.39253",
  "author_total": 4,
  "authors": [
    {
      "name": "Geoffrey Compère"
    },
    {
      "name": "Dima Fontaine"
    },
    {
      "name": "Wen-Bin Liu"
    },
    {
      "name": "Kevin Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f5qamb6atk4g9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39253",
  "fulltext_url": null,
  "id": "f5qamb6atk4g9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.39253",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7215118114",
  "pdf_url": "https://arxiv.org/pdf/2609.39253",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f5qamb6atk4g9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.39253",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39253"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Gravitational multipoles, antipodal matching relations, and the logarithmic soft graviton theorem",
  "title_text": "Gravitational multipoles, antipodal matching relations, and the logarithmic soft graviton theorem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/f5qamb6atk4g9",
  "venue": "arXiv",
  "versions": []
}