{"id":"https://openalex.org/W2402741710","doi":null,"title":"The Goldberg-Sachs theorem and the alignment condition for Einstein-Maxwell fields","display_name":"The Goldberg-Sachs theorem and the alignment condition for Einstein-Maxwell fields","publication_year":2016,"publication_date":"2016-05-19","ids":{"openalex":"https://openalex.org/W2402741710","mag":"2402741710"},"language":"en","primary_location":{"id":"mag:2402741710","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1605.05830v2","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/pdf/1605.05830v2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013584114","display_name":"N Van den Bergh","orcid":"https://orcid.org/0000-0003-4748-6450","observed_orcids":["https://orcid.org/0000-0003-4748-6450"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"N Van den Bergh","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4748-6450","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5013584114"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"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":0.8695999979972839,"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":0.8695999979972839,"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":0.10490000247955322,"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"}},{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.01140000019222498,"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/alignment-condition","display_name":"alignment condition","score":0.878000020980835},{"id":"https://openalex.org/keywords/einstein-maxwell-fields","display_name":"Einstein-Maxwell fields","score":0.9940000176429749},{"id":"https://openalex.org/keywords/petrov-type-d","display_name":"Petrov type D","score":0.7820000052452087},{"id":"https://openalex.org/keywords/cosmological-constant","display_name":"cosmological constant","score":0.8889999985694885},{"id":"https://openalex.org/keywords/null-geodesic-congruences","display_name":"null geodesic congruences","score":0.6769999861717224}],"concepts":[{"id":"https://openalex.org/C166861157","wikidata":"https://www.wikidata.org/wiki/Q59151","display_name":"Cosmological constant","level":2,"score":0.7596628665924072},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.7095740437507629},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7084653377532959},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.5670260190963745},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.562821626663208},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.5367482900619507},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5034047961235046},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4425557851791382},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4307641386985779},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.38492053747177124},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07469594478607178},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06298279762268066},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.04732617735862732},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2402741710","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1605.05830v2","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:2402741710","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1605.05830v2","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2520688880","https://openalex.org/W1983681588","https://openalex.org/W2049037574","https://openalex.org/W3088698278","https://openalex.org/W4283312061","https://openalex.org/W7097618523","https://openalex.org/W3202744823","https://openalex.org/W3203716754","https://openalex.org/W1968707596","https://openalex.org/W3215090375"],"abstract_inverted_index":{"A":[0],"new":[1],"characterisation":[2],"is":[3],"given":[4],"of":[5,14,23,29,45],"the":[6,12,24,30,42],"Garcia-Plebanski":[7],"and":[8,28],"Plebanski-Hacyan":[9],"metrics":[10,27,36],"within":[11,41],"family":[13,44],"non-null":[15],"aligned":[16,32],"Einstein-Maxwell":[17,49],"fields":[18],"with":[19,37],"a":[20],"cosmological":[21,39],"constant,":[22],"non-aligned":[25],"Griffiths":[26],"doubly":[31],"Debever-McLenaghan":[33],"'class":[34],"D'":[35],"non-vanishing":[38],"constant":[40],"general":[43],"Petrov":[46],"type":[47],"D":[48],"fields.":[50]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2016-06-24T00:00:00"}