{"id":"W2963613839","doi":"10.4153/s0008439519000249","title":"Einstein–Maxwell Equations on Four-dimensional Lie Algebras","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Einstein; Automorphism; Mathematical physics; Invariant (physics); Einstein equations; Maxwell's equations; Pure mathematics; Lie algebra; Mathematical analysis; General relativity","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004830264,0.0002958341,0.0004098577,0.0002897212,0.0001881902,0.00008094847,0.0003897727,0.0001873743,0.09941147],"category_scores_gemma":[0.001069814,0.0002715671,0.0001769034,0.0002677471,0.0000664942,0.0000346811,0.00006038548,0.0003217866,0.1039041],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001790064,"about_ca_system_score_gemma":0.0002185835,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002006798,"about_ca_topic_score_gemma":0.0004379786,"domain_scores_codex":[0.9978877,0.0000895374,0.0004608126,0.0004102474,0.0004779306,0.0006737387],"domain_scores_gemma":[0.9967932,0.001556463,0.00009819533,0.0007552081,0.00009751232,0.0006994054],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007913741,0.0001092256,0.00001955234,0.0001049117,0.00003620287,0.00004344716,0.00007238831,0.00002308248,0.00005593874,0.9507889,0.04850649,0.000231933],"study_design_scores_gemma":[0.0005643372,0.0002053464,0.0001071147,0.0002070974,0.00004957048,0.00005055866,0.0001064099,0.001175174,0.0001786234,0.8092797,0.1875681,0.0005078882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5238925,0.00004545331,0.002923579,0.01535475,0.0004218536,0.001261504,0.00006747234,0.0002498502,0.455783],"genre_scores_gemma":[0.9543441,6.402147e-7,0.006497035,0.002829041,0.0001332904,0.00004242114,0.00003065825,0.00006527659,0.03605757],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4304515,"threshold_uncertainty_score":0.9999737,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04780128362718786,"score_gpt":0.2532017035438058,"score_spread":0.2054004199166179,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}