{
  "abstract": "We integrate the Bondi--Sachs hierarchy of scalar--Gauss--Bonnet gravity with an arbitrary coupling function $f(Φ)$ and a radiating massless scalar, and determine the first order in $1/r$ at which the coupling $λ$ becomes visible in each field equation. We obtain the asymptotic falloff of the effective Gauss--Bonnet stress tensor together with its leading coefficients in covariant form on the sphere: every component decays between one and three powers of $1/r$ faster than the slowest falloff compatible with a smooth null infinity. As a consequence, (i) the Bondi mass-loss formula and the evolution equation of the angular-momentum aspect are those of the minimally coupled Einstein--scalar system, a statement that is exact in $λ$ under the assumption of a smooth expansion; (ii) the coupling generates no logarithmic terms through the orders considered, even though the Horndeski representation of the theory involves logarithmic functionals; and (iii) the coupling first enters a dynamical equation in the evolution of the $O(r^{-3})$ coefficient of the angular metric, through the cross term $-2λf'(\\vp_0)\\,\\vp_1\\,\\partial_u N_{AB}$ between the asymptotic scalar charge aspect and the time derivative of the news. In Newman--Penrose form, the evolution equation of the leading coefficient of $Ψ_0$ acquires the source $-12λf'(\\vp_0)\\,\\vp_1\\barΨ_4^0$, while those of $Ψ_1$ and $Ψ_2$ are unchanged. The Gauss--Bonnet invariant decays as $r^{-6}$ and affects the scalar hierarchy only from the evolution of the $r^{-5}$ coefficient onward. For vacuum black-hole spacetimes, where the scalar is sourced by the coupling itself, all these effects are of order $λ^2$; if $f'(\\vp_0)=0$ they are pushed one further order in $1/r$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07200",
  "author_total": 3,
  "authors": [
    {
      "name": "Maickol Muñoz-Palma"
    },
    {
      "name": "Alvaro Restuccia"
    },
    {
      "name": "Francisco Tello-Ortiz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5e9kvj7kwb32z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07200",
  "fulltext_url": null,
  "id": "5e9kvj7kwb32z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07200",
  "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",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7220980058",
  "pdf_url": "https://arxiv.org/pdf/2610.07200",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5e9kvj7kwb32z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.07200",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07200"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Where the Gauss--Bonnet coupling enters the Bondi--Sachs hierarchy",
  "title_text": "Where the Gauss--Bonnet coupling enters the Bondi--Sachs hierarchy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/5e9kvj7kwb32z",
  "venue": "arXiv",
  "versions": []
}