{
  "annotation_id": "0abbec57-bd04-4938-bf47-47ebd01fe4fd",
  "date_created": "2026-03-02T18:01:24.825000Z",
  "date_modified": "2026-03-02T18:01:24.825000Z",
  "file_hash": "6688940c0bebce70ef7dea195cc8738d30c5cb6afe43db4329ef586282e419ef",
  "private": false,
  "record": {
    "abstract": "The topos theory is a theory which is used for deciding a number of problems\nof theory of relativity, gravitation and quantum physics. It is known that\ntopos-theoretic geometry can be successfully developed within the framework of\nSynthetic Differential Geometry of Kock-Lawvere (SDG), the models of which are\nserving the toposes, i.e. categories possessing many characteristics of\ntraditional Theory of Sets. In the article by using ideas SDG, non-classical\nspherically symmetric solution of the vacuum Einstein equations is given.",
    "arxiv_id": "physics/9909016",
    "authors": [
      "Alexander K. Guts",
      "Artem A. Zvyagintsev"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "Solution of the vacuum Einstein equations in Synthetic Differential   Geometry of Kock-Lawvere",
    "url": "https://arxiv.org/abs/physics/9909016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dae4cce3-9bb6-4949-aa32-4dfa137d206a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}