{
  "annotation_id": "c6128de6-2350-4947-9458-f8a0aa2f0e1e",
  "date_created": "2026-02-17T05:53:07.891000Z",
  "date_modified": "2026-02-17T05:53:07.891000Z",
  "file_hash": "9e031938546be844b8c2a26bf9f7ff2eb8667395fd3fd2311523a2e1db11f547",
  "private": false,
  "record": {
    "abstract": "In this work, within exterior algebra formalism, we revisit and study the matter coupling in Exotic General Massive 3D Gravity (EGMG), previously introduced in \\cite{ozkan_1}. Considering that the matter Lagrangian is both metric co-frame and connection dependent in general, we explicitly construct associated source 2-form by algebraically solving auxiliary 1-form fields in terms of gravitational field variables, energy-momentum and hyper-momentum 2-forms. It is seen that that the source 2-form involves terms that are quadratic in energy-momentum and hyper-momentum 2-forms as well as terms that depend on covariant derivatives of them. In addition, we derive the consistency relation in order that matter-coupled EGMG field equation be third-way consistent. In general, the consistency requires a particular relation that should be satisfied by energy-momentum and hyper-momentum 2-forms. We note that our construction and formalism allows to investigate non-minimal matter couplings with gravitational fields. It also enables to construct the higher order curvature extensions of EGMG.",
    "arxiv_id": "2601.06908",
    "authors": [
      "Hakan Cebeci"
    ],
    "categories": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Note on the matter coupling in Exotic General Massive 3D Gravity",
    "url": "https://arxiv.org/abs/2601.06908",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e908b1dd-58a8-4911-89b5-b7ed1654d55b",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}