{
  "abstract": "Inspired by interaction of gravitational waves, dark matters and dark energy, we study the Einstein scalar field equations with the nonzero cosmological constant for the Bondi-Sachs metrics. We provide the asymptotic expansions under the outgoing radiation condition. Unlike the case of the zero cosmological constant, the asymptotic expansions depend on four additional $Λ$-independent functions $B(u, θ, ϕ)$, $\\tilde{X}(u, θ, ϕ)$, $\\tilde{Y}(u, θ, ϕ)$ and $\\tilde{I}(u)$. We show that, under suitable coordinate transformation, we can make $B(u, θ, ϕ)=0$. We prove the peeling property for the Einstein scalar field equations if $\\tilde{I}=0$, and derive a loss formula of the Bondi energy-momentum for the nonzero cosmological constant. We remark that, for certain real data from gravitational waves, the loss formula is likely to indicate the loss property of the Bondi energy-momentum.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29723",
  "author_total": 2,
  "authors": [
    {
      "name": "Jialue Li"
    },
    {
      "name": "Xiao Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8kkppn9mrw36v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29723",
  "fulltext_url": null,
  "id": "8kkppn9mrw36v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29723",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7204906944",
  "pdf_url": "https://arxiv.org/pdf/2608.29723",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8kkppn9mrw36v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29723",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29723"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Peeling property for the Einstein scalar field equations with the nonzero cosmological constant",
  "title_text": "Peeling property for the Einstein scalar field equations with the nonzero cosmological constant",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/8kkppn9mrw36v",
  "venue": "arXiv",
  "versions": []
}