{"work":{"id":"8180ba97-a227-488e-b2ea-2a6c74ebc8de","openalex_id":null,"doi":null,"arxiv_id":"gr-qc/0006014","raw_key":null,"title":"Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics","authors":null,"authors_text":"K","year":2000,"venue":"gr-qc","abstract":"It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F = F_mn F^mn$ having a correct weak field limit, leads to nontrivial static, spherically symmetric solutions with a globally regular metric if and only if the electric charge is zero and $L(F)$ tends to a finite limit as $F \\to \\infty$. Properties and examples of such solutions, which include magnetic black holes and soliton-like objects (monopoles), are discussed. Magnetic solutions are compared with their electric counterparts. A duality between solutions of different theories specified in two alternative formulations of NED (called $FP$ duality) is used as a tool for this comparison.","external_url":"https://arxiv.org/abs/gr-qc/0006014","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-22T01:50:54.626739+00:00","pith_arxiv_id":"gr-qc/0006014","created_at":"2026-05-10T11:25:20.629935+00:00","updated_at":"2026-05-22T01:50:54.626739+00:00","title_quality_ok":true,"display_title":"Regular Magnetic Black Holes and Monopoles from Nonlin- ear Electrodynamics","render_title":"Regular Magnetic Black Holes and Monopoles from Nonlin- ear Electrodynamics"},"hub":{"state":{"work_id":"8180ba97-a227-488e-b2ea-2a6c74ebc8de","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":26,"external_cited_by_count":null,"distinct_field_count":5,"first_pith_cited_at":"2025-06-01T14:33:43+00:00","last_pith_cited_at":"2026-05-19T07:13:32+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-05-26T03:06:11.412828+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":13}],"polarity_counts":[{"context_polarity":"background","n":11},{"context_polarity":"support","n":1},{"context_polarity":"unclear","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}