{
  "abstract": "We consider vacuum spatially homogeneous models in Hořava-Lifshitz gravity, which are expected to describe generic singularities for these modified gravity theories. These models perturb the well-known Bianchi models in general relativity (GR) by a parameter $v\\in (0,1)$, in which GR occurs at $v=1/2$. We show that all periodic heteroclinic chains of Bianchi type II orbits are robust for small perturbations of GR, i.e. they exist for any $v\\approx 1/2$. Moreover, we prove the existence of a stable manifold for each heteroclinic chain within a Cantor set for the supercritical case, $v\\in (1/2,1)$. In particular, we discuss the heteroclinic chains of periods three and four in detail.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18283",
  "author_total": 2,
  "authors": [
    {
      "name": "Hauke Sprink"
    },
    {
      "name": "Phillipo Lappicy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c5jgk5yv0z3td.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18283",
  "fulltext_url": null,
  "id": "c5jgk5yv0z3td",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18283",
  "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",
      "math.DS"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7221790373",
  "pdf_url": "https://arxiv.org/pdf/2610.18283",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c5jgk5yv0z3td.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.18283",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18283"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Stable manifolds of heteroclinic chains in Hořava-Lifshitz cosmology",
  "title_text": "Stable manifolds of heteroclinic chains in Hořava-Lifshitz cosmology",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:20Z",
  "url": "https://research.draconitic.com/paper/c5jgk5yv0z3td",
  "venue": "arXiv",
  "versions": []
}