{ "id": "2404.09054", "version": "v1", "published": "2024-04-13T17:37:29.000Z", "updated": "2024-04-13T17:37:29.000Z", "title": "Semilinear Klein-Gordon equation in space-time of black hole, which is gaining mass in the universe with accelerating expansion", "authors": [ "Karen Yagdjian", "Anahit Galstian" ], "comment": "arXiv admin note: substantial text overlap with arXiv:2307.01335", "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "In this paper, we prove the existence of global in-time small-data solutions of semilinear Klein-Gordon equations in space-time with a static Schwarzschild radius and variable mass in the expanding universe.", "revisions": [ { "version": "v1", "updated": "2024-04-13T17:37:29.000Z" } ], "analyses": { "subjects": [ "35A01", "35L15", "35L71", "35Q75" ], "keywords": [ "semilinear klein-gordon equation", "black hole", "gaining mass", "accelerating expansion", "space-time" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }