{"id":"W4223484068","doi":"10.1007/s10714-022-02922-7","title":"Solutions for the null-surface formulation in $$2+1$$ dimensions leading to spacetimes of Petrov types I, II, and D","year":2022,"lang":"en","type":"article","venue":"General Relativity and Gravitation","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Brandon University; Winnipeg Institute for Theoretical Physics; Mount Saint Vincent University","funders":"","keywords":"Physics; General relativity; Null (SQL); Eigenvalues and eigenvectors; Scalar field; Differential geometry; Mathematical physics; Partial differential equation; Scalar (mathematics); Weyl tensor; Tensor (intrinsic definition); Ordinary differential equation; Differential equation; Mathematical analysis; Pure mathematics; Riemann curvature tensor; Mathematics; Quantum mechanics; Curvature; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002155142,0.00005428703,0.00008619916,0.00002453503,0.000476632,0.00001002332,0.00002530242,0.00001171531,0.000008359358],"category_scores_gemma":[0.0000113101,0.00004547985,0.0000275593,0.0001228787,0.00003215912,0.0000696122,0.00008052123,0.00008038969,5.277199e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001072564,"about_ca_system_score_gemma":0.00001022831,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000801124,"about_ca_topic_score_gemma":0.00001421714,"domain_scores_codex":[0.9995878,0.00003891528,0.00009435057,0.0001034371,0.00006458911,0.0001109183],"domain_scores_gemma":[0.9996445,0.0002084301,0.00004255226,0.00005835497,0.0000227183,0.00002346875],"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":[0.00002093069,0.00003496274,0.003548642,0.000003679288,0.0000108044,1.778364e-8,0.001105524,0.02568141,0.002802555,0.9635667,0.0001036549,0.00312108],"study_design_scores_gemma":[0.0004070458,0.0001928109,0.01683491,0.000009816717,0.00003841317,2.193066e-7,0.0006947243,0.02991099,0.0004587229,0.9504066,0.0009438967,0.0001018834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9750363,0.00009189127,0.02320749,0.001096494,0.00004028475,0.0002512517,0.00005769488,0.000003498353,0.0002151447],"genre_scores_gemma":[0.9983895,0.000002205767,0.001181105,0.00002443045,0.00002450092,0.00002610042,0.00003613838,0.000005090761,0.000310888],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0233533,"threshold_uncertainty_score":0.3665916,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01581010461954162,"score_gpt":0.2630264511651586,"score_spread":0.247216346545617,"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."}}