{
  "abstract": "We investigate the validity of the zeroth law in the general class of scalar-tensor theories with second-order field equations, namely Horndeski theories or generalized Galileon theories in four-dimensional spacetime. Assuming that the non-minimally coupled scalar field inherits the spacetime symmetries, we show that the horizon mixed projection of the field equations implies constant surface gravity on a stationary Killing horizon. Our analysis incorporates the most generic non-minimal scalar couplings permitted within the Horndeski framework, which we consider as a perturbative expansion about general relativity. Our results therefore classify the possible cases within this framework of proof for different classes of scalar-tensor theories, including shift-symmetric scalar fields. These results extend the applicability of black hole mechanics beyond Einstein gravity and provide further evidence for the thermodynamic consistency of general Horndeski theories.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.09984",
  "author_total": 2,
  "authors": [
    {
      "name": "Ribhu Paul"
    },
    {
      "name": "Krishnakanta Bhattacharya"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d9vqdwcxv4mtg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.09984",
  "fulltext_url": null,
  "id": "d9vqdwcxv4mtg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.09984",
  "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.gen-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.09984",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d9vqdwcxv4mtg.ris",
  "sources": [
    {
      "first_seen": "2026-11-10T06:21:23Z",
      "native_id": "2611.09984",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.09984"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.gen-ph",
      "subfield": "general"
    }
  ],
  "title": "Zeroth law of black hole mechanics in general Horndeski theories",
  "title_text": "Zeroth law of black hole mechanics in general Horndeski theories",
  "type": "preprint",
  "updated_at": "2026-11-10T06:21:23Z",
  "url": "https://research.draconitic.com/paper/d9vqdwcxv4mtg",
  "venue": "arXiv",
  "versions": []
}