{
  "abstract": "We show, analytically, that a static sine-Gordon soliton cannot exist in 1 + 1 non-dynamical de Sitter spacetime if $α:= (m/H)^2 < 2$, where $m$ is the mass parameter of the sine-Gordon theory and $H$ is the Hubble constant. Conversely, we also show that static sine-Gordon solitons exist in 1 + 1 non-dynamical de Sitter spacetime if $α> 2$. The above threshold is explained---qualitatively and to within an O(1) factor---using a heuristic argument involving the interplay of tensile force in the Lorentzian sine-Gordon soliton and the tidal force in de Sitter spacetime. A similar heuristic argument, which remains to be confirmed analytically, also suggests the existence of a threshold, $ (m_V/H)^2 \\sim O(1)$, below which the tidal forces are too strong to permit the existence of a static `t Hooft--Polyakov monopole in non-dynamical 3 + 1 de Sitter spacetime; $m_V$ is the mass of the vector boson. Linde has suggested that new inflation could have triggered secondary inflation at the core of a GUT (Grand Unified Theory) monopole even if the Hubble constant at or after the GUT phase transition was significantly smaller than the mass of the $X$ boson. We present a heuristic argument, which suggests that the $SO(3)$ `t Hooft--Polyakov monopole does not allow secondary inflation at its core when the inflationary background is weak. Based on the above, as yet analytically unconfirmed, heuristic argument for the $SO(3)$ `t Hooft--Polyakov monopole, we conjecture that secondary inflation at the core of a GUT monopole is infeasible.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Universe 12(4), 119, 2026",
  "arxiv": "2609.28540",
  "author_total": 1,
  "authors": [
    {
      "name": "Nagabhushana Prabhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6vc3cyge8djd9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28540",
  "fulltext_url": null,
  "id": "6vc3cyge8djd9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28540",
  "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"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.28540",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6vc3cyge8djd9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.28540",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28540"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Static Solitons in an Expanding Universe",
  "title_text": "Static Solitons in an Expanding Universe",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/6vc3cyge8djd9",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.3390/universe12040119",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}