{
  "abstract": "We consider the deflection of light by a spherically symmetric and electrically charged black hole solution in the Einstein-Maxwell-Dilaton theory with specific values of the dilaton coupling constant where the deflection angle can be represented as elliptic integrals. We show that the deflection angle as a function of two dimensionless variables $(s,z)$, which are related to the background charge and the impact parameter, respectively, satisfies a system of 2nd-order linear partial differential equations called the Picard-Fuchs (PF) equations. For each case of the dilaton coupling, the PF equations lead to 1st-order ordinary differential equations with respect to the variable $s$ for the constants $\\bar{a}$ and $\\bar{b}$ in the log-formula for the strong deflection limit. Using the Hamiltonian system associated with Painlevé VI equations, which holds as a result of the integrability of the PF equations, we solve the equations for $\\bar{a}$ and $\\bar{b}$. By requiring consistency with the Schwarzschild case in the zero-charge limit, $\\bar{a}$ and $\\bar{b}$ for nonzero charge are uniquely determined.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J. Math. Phys. 67, 092502 (2026)",
  "arxiv": "2606.12819",
  "author_total": 1,
  "authors": [
    {
      "name": "Tadashi Sasaki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a2ns5xrky4qqr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.12819",
  "fulltext_url": null,
  "id": "a2ns5xrky4qqr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.12819",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.12819",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a2ns5xrky4qqr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2606.12819",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.12819"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Strong deflection limit-analysis using Picard-Fuchs equation in Einstein-Maxwell-Dilaton spacetime",
  "title_text": "Strong deflection limit-analysis using Picard-Fuchs equation in Einstein-Maxwell-Dilaton spacetime",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/a2ns5xrky4qqr",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1063/5.0349688",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}