{
  "abstract": "We study self-gravitating fluid equilibria in the Newtonian limit of Eddington-inspired Born--Infeld (EiBI) gravity, in which the Poisson equation acquires a term proportional to the Laplacian of the density. We show that this term is equivalent, for arbitrary flows, to an effective pressure $p+χρ^2/8$, so that equilibrium and radial stability reduce exactly to Newtonian problems with a modified equation of state. For pressure-bounded isothermal spheres we compute the EiBI generalization of the Bonnor--Ebert critical mass as a function of the single parameter $\\varepsilon=χP_{\\rm ext}/4c_s^4$, and confirm each change of stability with a radial-pulsation analysis. Near $\\varepsilon=0$ the critical mass grows as $M_{\\rm BE}(1+5.74\\,\\varepsilon)$. For $\\varepsilon>0.0302$ no isothermal sphere is radially unstable, so a positive EiBI parameter removes the Bonnor--Ebert instability; for smaller positive $\\varepsilon$ a stable high-density branch supported by the EiBI pressure follows the unstable one. For $\\varepsilon<-0.154$ the mass limit is set instead by the vanishing of the central effective sound speed, and is a loss of equilibrium rather than an instability. In planar geometry the same reduction yields an exact first integral, closed-form isothermal sheets with a maximum column density $2c_s^2/\\sqrt{πG|χ|}$ for $χ<0$, and a complete classification of adiabatic $γ=3$ sheets.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30716",
  "author_total": 1,
  "authors": [
    {
      "name": "Nikhil Chakrabarti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eynxzmrk1hy47.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30716",
  "fulltext_url": null,
  "id": "eynxzmrk1hy47",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30716",
  "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",
      "physics.plasm-ph"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7223415760",
  "pdf_url": "https://arxiv.org/pdf/2610.30716",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eynxzmrk1hy47.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.30716",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30716"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.plasm-ph",
      "subfield": "plasma"
    }
  ],
  "title": "Self-gravitating isothermal equilibria in Eddington-inspired Born--Infeld gravity: exact planar sheets and the Bonnor--Ebert critical mass",
  "title_text": "Self-gravitating isothermal equilibria in Eddington-inspired Born--Infeld gravity: exact planar sheets and the Bonnor--Ebert critical mass",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/eynxzmrk1hy47",
  "venue": "arXiv",
  "versions": []
}