{"id":"https://openalex.org/W1970734883","doi":"https://doi.org/10.1088/0264-9381/8/10/005","title":"Legendre transforms in Ashtekar's theory of gravity","display_name":"Legendre transforms in Ashtekar's theory of gravity","publication_year":1991,"publication_date":"1991-10-01","ids":{"openalex":"https://openalex.org/W1970734883","doi":"https://doi.org/10.1088/0264-9381/8/10/005","mag":"1970734883"},"language":"en","primary_location":{"id":"doi:10.1088/0264-9381/8/10/005","doi":"https://doi.org/10.1088/0264-9381/8/10/005","is_oa":false,"landing_page_url":"https://doi.org/10.1088/0264-9381/8/10/005","pdf_url":null,"source":{"id":"https://openalex.org/S171172751","display_name":"Classical and Quantum Gravity","issn_l":"0264-9381","issn":["0264-9381","1361-6382"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Classical and Quantum Gravity","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044275740","display_name":"Peter Peld\u00e1n","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"P Peldan","raw_affiliation_strings":["Inst. of Theor. Phys., Goteborg, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inst. of Theor. Phys., Goteborg, Sweden","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5044275740"],"corresponding_institution_ids":[],"apc_list":{"value":3325,"currency":"USD","value_usd":3325},"apc_paid":null,"fwci":14.024,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.98944538,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"8","issue":"10","first_page":"1765","last_page":"1783"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9448000192642212,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9448000192642212,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.017400000244379044,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.014800000004470348,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/legendre-transform","display_name":"Legendre transform","score":0.8500000238418579},{"id":"https://openalex.org/keywords/ashtekar-variables","display_name":"Ashtekar variables","score":0.9449999928474426},{"id":"https://openalex.org/keywords/hamiltonian-formulation-of-gravity","display_name":"Hamiltonian formulation of gravity","score":0.8880000114440918},{"id":"https://openalex.org/keywords/matter-coupling","display_name":"matter coupling","score":0.8730000257492065},{"id":"https://openalex.org/keywords/cosmological-constant","display_name":"cosmological constant","score":0.949999988079071},{"id":"https://openalex.org/keywords/canonical-quantum-gravity","display_name":"canonical quantum gravity","score":0.4690000116825104}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9067655801773071},{"id":"https://openalex.org/C116594300","wikidata":"https://www.wikidata.org/wiki/Q908652","display_name":"Legendre transformation","level":2,"score":0.674125075340271},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6554232239723206},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.6364610195159912},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5723852515220642},{"id":"https://openalex.org/C30381742","wikidata":"https://www.wikidata.org/wiki/Q2621284","display_name":"Parameterized post-Newtonian formalism","level":4,"score":0.5396662950515747},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.5305908918380737},{"id":"https://openalex.org/C141629334","wikidata":"https://www.wikidata.org/wiki/Q3266751","display_name":"f(R) gravity","level":4,"score":0.49939894676208496},{"id":"https://openalex.org/C166861157","wikidata":"https://www.wikidata.org/wiki/Q59151","display_name":"Cosmological constant","level":2,"score":0.4691775143146515},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.4542478024959564},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4144608974456787},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4110845625400543},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.33300459384918213},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14442569017410278},{"id":"https://openalex.org/C27877202","wikidata":"https://www.wikidata.org/wiki/Q2603912","display_name":"Classical field theory","level":3,"score":0.08705341815948486},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.06743037700653076},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/0264-9381/8/10/005","doi":"https://doi.org/10.1088/0264-9381/8/10/005","is_oa":false,"landing_page_url":"https://doi.org/10.1088/0264-9381/8/10/005","pdf_url":null,"source":{"id":"https://openalex.org/S171172751","display_name":"Classical and Quantum Gravity","issn_l":"0264-9381","issn":["0264-9381","1361-6382"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Classical and Quantum Gravity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1963999646","https://openalex.org/W1966161082","https://openalex.org/W1970792417","https://openalex.org/W1972877551","https://openalex.org/W1980093938","https://openalex.org/W1987344724","https://openalex.org/W2005779340","https://openalex.org/W2022963977","https://openalex.org/W2023717293","https://openalex.org/W2033442773","https://openalex.org/W2039166985","https://openalex.org/W2066299905","https://openalex.org/W2089277165","https://openalex.org/W2124214065","https://openalex.org/W2150317177","https://openalex.org/W3041643375","https://openalex.org/W4235331193"],"related_works":["https://openalex.org/W1976467422","https://openalex.org/W4389858082","https://openalex.org/W2039166985","https://openalex.org/W7051653141","https://openalex.org/W309740954","https://openalex.org/W1965969931","https://openalex.org/W2993741197","https://openalex.org/W3176798804","https://openalex.org/W7097279669","https://openalex.org/W1980093938"],"abstract_inverted_index":{"Legendre":[0],"transforms":[1],"from":[2],"Ashtekar's":[3],"Hamiltonian":[4],"formulation":[5],"of":[6],"gravity":[7,19],"to":[8],"a":[9],"metric-free":[10],"second-order":[11],"configuration":[12],"space":[13],"Lagrangian":[14],"formulation,":[15],"are":[16],"performed":[17],"for":[18],"with":[20],"matter":[21],"couplings":[22],"and":[23],"cosmological":[24],"constant.":[25]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}