{
  "abstract": "It has been shown that for theories whose Courant-Hilbert function depends on a single dimensionful coupling, the energy-momentum tensor is controlled by the two combinations $τ\\dot{\\ell}$ and $\\ell-τ\\dot{\\ell}$, so that the quadratic invariants $X=T_{μν}T^{μν}$ and $Y=(T^μ_μ)^2$ depend on a single auxiliary variable. Eliminating this variable in favour of $Y/X$ yields the exact autonomous flow $\\partial_λ\\mathcal L=X\\,\\mathcal F(Y/X)$, with no explicit dependence on the coupling, the electromagnetic invariants or the CH parameter, on every branch where the map is invertible. The expansion of $\\mathcal F$ in powers of $\\sqrt{Y/X}$ shows which flows are built from integer powers of $X$ and $Y$ and which require half-integer powers. In this paper, we work out four examples in closed form, each with its analytic structure and physical interpretation: the generalized Born-Infeld theory, whose flow is quadratic in the stress tensor; the $q$-deformed family, in which the odd coefficients of the expansion vanish at $q=1/2$ and are nonzero otherwise; the no-$τ$-maximum theory; and the causal Russo-Townsend logarithmic theory, whose flow involves the lower real branch of the Lambert $W$ function and reproduces the known perturbative result. The singular points of $\\mathcal{F}$ are related to the critical fields, energy conditions, and strong-field behavior of each theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33887",
  "author_total": 3,
  "authors": [
    {
      "name": "Zahra Pezhman"
    },
    {
      "name": "Komeil Babaei Velni"
    },
    {
      "name": "H. Babaei-Aghbolagh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fef7k16qcqy42.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33887",
  "fulltext_url": null,
  "id": "fef7k16qcqy42",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33887",
  "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",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223786480",
  "pdf_url": "https://arxiv.org/pdf/2610.33887",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fef7k16qcqy42.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33887",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33887"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Exact Stress Tensor Flows in Causal Electrodynamics: Courant-Hilbert Approach",
  "title_text": "Exact Stress Tensor Flows in Causal Electrodynamics: Courant-Hilbert Approach",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/fef7k16qcqy42",
  "venue": "arXiv",
  "versions": []
}