{"id":"W2970445928","doi":"10.1139/cjp-2019-0217","title":"On the Hamiltonian and Hamilton–Jacobi equations for metric gravity","year":2019,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Cosmology and Gravitation Theories","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Physics; Hamilton–Jacobi equation; General relativity; Hamiltonian (control theory); Mathematical physics; Gravitational field; Classical mechanics; Linearized gravity; Metric tensor; Field equation; Mathematics of general relativity; Classical field theory; Gravitation; Introduction to the mathematics of general relativity; Numerical relativity; Mathematical analysis; Mathematics; Geodesic","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009204754,0.0007698287,0.0007392263,0.001337346,0.0007312552,0.0009305382,0.0009777602,0.001236177,0.005184133],"category_scores_gemma":[0.001340694,0.0003949892,0.0007727374,0.001209197,0.002974113,0.002178676,0.001519367,0.001985521,0.001768742],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001198497,"about_ca_system_score_gemma":0.001653058,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006273258,"about_ca_topic_score_gemma":0.004632028,"domain_scores_codex":[0.9995605,0.0001182179,0.0000240325,0.00006261415,0.0001943804,0.00004019231],"domain_scores_gemma":[0.9996893,0.0001119803,0.000033806,0.00003496504,0.0001047845,0.00002508739],"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":[0.000002724654,0.000006653892,0.00004665203,0.0000505265,0.000004186324,0.00005912834,0.0001012632,0.003139896,0.0005233753,0.9866908,0.002662256,0.006712439],"study_design_scores_gemma":[0.000006527929,0.00001416992,0.0004114036,0.00005866933,0.000004572949,0.00009715308,0.00003989372,0.01337652,0.0001896493,0.9642509,0.02152644,0.00002418657],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03717462,0.02212039,0.6726067,0.005477705,0.002360032,0.0002400576,0.001856445,0.0002540597,0.25791],"genre_scores_gemma":[0.4551196,0.03441636,0.3530068,0.003271219,0.004729844,0.0007807741,0.003716688,0.000543521,0.144415],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006273258,"threshold_uncertainty_score":0.01734269,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01243661723160069,"score_gpt":0.2357499085932899,"score_spread":0.2233132913616892,"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."}}