{"id":"https://openalex.org/W2414328014","doi":null,"title":"Exact solutions to quadratic gravity generated by a conformal method","display_name":"Exact solutions to quadratic gravity generated by a conformal method","publication_year":2016,"publication_date":"2016-06-08","ids":{"openalex":"https://openalex.org/W2414328014","mag":"2414328014"},"language":"en","primary_location":{"id":"mag:2414328014","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1606.02646","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/1606.02646","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002642267","display_name":"Vojt\u011bch Pravda","orcid":"https://orcid.org/0000-0001-7981-8611","observed_orcids":["https://orcid.org/0000-0001-7981-8611"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vojt\u011bch Pravda","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7981-8611","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048525241","display_name":"A. Pravdov\u00e1","orcid":"https://orcid.org/0000-0003-1211-6281","observed_orcids":["https://orcid.org/0000-0003-1211-6281"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Pravdov\u00e1","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1211-6281","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044285976","display_name":"Ji\u0159\u00ed Podolsk\u00fd","orcid":"https://orcid.org/0000-0003-2998-6830","observed_orcids":["https://orcid.org/0000-0003-2998-6830"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ji\u0159\u030c\u00ed Podolsk\u00fd","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2998-6830","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5082686594","display_name":"Robert \u0160varc","orcid":"https://orcid.org/0000-0001-7455-5912","observed_orcids":["https://orcid.org/0000-0001-7455-5912"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert \u0160varc","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7455-5912","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.459199994802475,"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":0.459199994802475,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.35740000009536743,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.07599999755620956,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-gravity","display_name":"quadratic gravity","score":0.9990000128746033},{"id":"https://openalex.org/keywords/conformal-mapping","display_name":"conformal mapping","score":0.8479999899864197},{"id":"https://openalex.org/keywords/conformal-factor","display_name":"conformal factor","score":0.953000009059906},{"id":"https://openalex.org/keywords/vacuum-solutions","display_name":"vacuum solutions","score":0.8989999890327454},{"id":"https://openalex.org/keywords/einstein-spacetime","display_name":"Einstein spacetime","score":0.8339999914169312},{"id":"https://openalex.org/keywords/bach-tensor","display_name":"Bach tensor","score":0.9739999771118164},{"id":"https://openalex.org/keywords/kundt-spacetimes","display_name":"Kundt spacetimes","score":0.9909999966621399},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.7210000157356262},{"id":"https://openalex.org/keywords/nonlinear-partial-differential-equations","display_name":"nonlinear partial differential equations","score":0.7379999756813049}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.8081377744674683},{"id":"https://openalex.org/C24531701","wikidata":"https://www.wikidata.org/wiki/Q5160256","display_name":"Conformal gravity","level":4,"score":0.7880634665489197},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.7075096964836121},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.6815887093544006},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.6037775874137878},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4802111089229584},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.4366600513458252},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42880839109420776},{"id":"https://openalex.org/C173848574","wikidata":"https://www.wikidata.org/wiki/Q3507963","display_name":"Conformal symmetry","level":3,"score":0.4251653552055359},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37449800968170166},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12777873873710632},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08690202236175537}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2414328014","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1606.02646","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2414328014","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1606.02646","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1518877246","https://openalex.org/W1965999577","https://openalex.org/W1975412138","https://openalex.org/W1985457360","https://openalex.org/W2002623849","https://openalex.org/W2027647568","https://openalex.org/W2033349800","https://openalex.org/W2033591174","https://openalex.org/W2046590835","https://openalex.org/W2054127088","https://openalex.org/W2075177518","https://openalex.org/W2086473203","https://openalex.org/W2086497979","https://openalex.org/W2087061063","https://openalex.org/W2131898205","https://openalex.org/W2139991156","https://openalex.org/W2147627677","https://openalex.org/W2158852345","https://openalex.org/W2161297398","https://openalex.org/W3098175763"],"related_works":["https://openalex.org/W2565661334","https://openalex.org/W7135689734","https://openalex.org/W2018850691","https://openalex.org/W3113066225","https://openalex.org/W2954633129","https://openalex.org/W1986349720","https://openalex.org/W7135983607","https://openalex.org/W7097423786","https://openalex.org/W7135616801","https://openalex.org/W2039366797"],"abstract_inverted_index":{"We":[0,14,47],"study":[1],"the":[2,30,73],"role":[3],"of":[4],"conformal":[5,31,52],"transformations":[6],"in":[7],"constructing":[8],"vacuum":[9],"solutions":[10,18,67],"to":[11,53,68],"quadratic":[12,69],"gravity.":[13],"find":[15],"that":[16,49],"such":[17],"can":[19],"be":[20],"obtained":[21],"by":[22,71],"solving":[23,72],"one":[24],"non-linear":[25],"partial":[26],"differential":[27],"equation":[28,76],"for":[29],"factor":[32],"on":[33,40,77],"any":[34,41],"Einstein":[35],"spacetime":[36],"or,":[37],"more":[38],"generally,":[39],"background":[42],"with":[43],"vanishing":[44],"Bach":[45],"tensor.":[46],"show":[48],"all":[50],"spacetimes":[51],"Kundt":[54,57,64,79],"are":[55],"either":[56],"or":[58],"Robinson--Trautmann,":[59],"and":[60,65],"we":[61],"provide":[62],"explicit":[63],"Robinson--Trautman":[66],"gravity":[70],"above":[74],"mentioned":[75],"certain":[78],"backgrounds.":[80]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}