{"paper":{"title":"Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The generalized Komar charge for Einstein-NLED theories yields a Smarr formula that includes the coupling constant contribution.","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Gabriele Barbagallo, Tom\\'as Ort\\'in","submitted_at":"2026-05-04T16:49:43Z","abstract_excerpt":"We construct the generalized Komar charge of generic, non-linear theories of electrodynamics (NLED) in 4 dimensions coupled to Einstein gravity. The contribution of the dimensionful coupling constant present in all these theories is obtained by promoting it to a dynamical field which is forced to be constant on-shell by a Lagrange multiplier. We use this charge to derive a Smarr formula for asymptotically-flat black-hole and soliton solutions of these theories that includes the contribution of the coupling constant. Previously, this contribution had been found using homogeneity arguments. We t"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We construct the generalized Komar charge of generic, non-linear theories of electrodynamics (NLED) in 4 dimensions coupled to Einstein gravity. ... We use this charge to derive a Smarr formula for asymptotically-flat black-hole and soliton solutions of these theories that includes the contribution of the coupling constant.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The contribution of the dimensionful coupling constant present in all these theories is obtained by promoting it to a dynamical field which is forced to be constant on-shell by a Lagrange multiplier.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions in Einstein-NLED theories, with application to the Bardeen regular black hole.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The generalized Komar charge for Einstein-NLED theories yields a Smarr formula that includes the coupling constant contribution.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"29fccab9523dc040ee1e28f2df408582114af304740869a594ac297712d2d688"},"source":{"id":"2605.02813","kind":"arxiv","version":2},"verdict":{"id":"018a340f-888e-4cce-b3dc-22b0a1294cda","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T18:17:39.809734Z","strongest_claim":"We construct the generalized Komar charge of generic, non-linear theories of electrodynamics (NLED) in 4 dimensions coupled to Einstein gravity. ... We use this charge to derive a Smarr formula for asymptotically-flat black-hole and soliton solutions of these theories that includes the contribution of the coupling constant.","one_line_summary":"A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions in Einstein-NLED theories, with application to the Bardeen regular black hole.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The contribution of the dimensionful coupling constant present in all these theories is obtained by promoting it to a dynamical field which is forced to be constant on-shell by a Lagrange multiplier.","pith_extraction_headline":"The generalized Komar charge for Einstein-NLED theories yields a Smarr formula that includes the coupling constant contribution."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.02813/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-20T15:33:37.831663Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-20T02:31:22.099707Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T15:57:26.440903Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"2813cf6c21e0a4ff42b2585789c33fb67afeb14520c5e3e6bee44fcd11430c92"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":3,"snapshot_sha256":"2c2a47d3a16c240ea8a64d317817a5077b8af43d340a45d69a51bdafcce93334"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}