{"id":"https://openalex.org/W2596578377","doi":"https://doi.org/10.1088/0031-9112/27/8/031","title":"The Wave Equation on a Curved Space\u2013Time","display_name":"The Wave Equation on a Curved Space\u2013Time","publication_year":1976,"publication_date":"1976-08-01","ids":{"openalex":"https://openalex.org/W2596578377","doi":"https://doi.org/10.1088/0031-9112/27/8/031","mag":"2596578377"},"language":"en","primary_location":{"id":"doi:10.1088/0031-9112/27/8/031","doi":"https://doi.org/10.1088/0031-9112/27/8/031","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0031-9112/27/8/031","pdf_url":"https://iopscience.iop.org/article/10.1088/0031-9112/27/8/031/pdf","source":{"id":"https://openalex.org/S2764513482","display_name":"Physics Bulletin","issn_l":"0031-9112","issn":["0031-9112"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics Bulletin","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2596578377"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/0031-9112/27/8/031/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048003821","display_name":"Paul Davies","orcid":"https://orcid.org/0000-0002-0340-2414","observed_orcids":["https://orcid.org/0000-0002-0340-2414"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"P Davies","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5048003821"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.307,"has_fulltext":true,"cited_by_count":271,"citation_normalized_percentile":{"value":0.89591489,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"27","issue":"8","first_page":"355","last_page":"355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.8384000062942505,"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":0.8384000062942505,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.05220000073313713,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.02199999988079071,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/wave-equation","display_name":"wave equation","score":0.9950000047683716},{"id":"https://openalex.org/keywords/curved-spacetime","display_name":"curved spacetime","score":0.9409999847412109},{"id":"https://openalex.org/keywords/wave-propagation","display_name":"wave propagation","score":0.8730000257492065},{"id":"https://openalex.org/keywords/general-relativity","display_name":"general relativity","score":0.9350000023841858},{"id":"https://openalex.org/keywords/classical-radiation","display_name":"classical radiation","score":0.6919999718666077},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"differential geometry","score":0.6909999847412109},{"id":"https://openalex.org/keywords/distribution","display_name":"distribution","score":0.6790000200271606},{"id":"https://openalex.org/keywords/hadamard","display_name":"Hadamard","score":0.8069999814033508}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5612136125564575},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5585910677909851},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5246503353118896},{"id":"https://openalex.org/C111410970","wikidata":"https://www.wikidata.org/wiki/Q5196078","display_name":"Curved space","level":2,"score":0.47011199593544006},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.42931535840034485},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42818599939346313},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4195703864097595},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.4157814383506775},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4142357110977173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4018312990665436},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.38869962096214294},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3460575044155121},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3260415196418762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24197867512702942},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23948553204536438},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16512230038642883},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.073150634765625},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/0031-9112/27/8/031","doi":"https://doi.org/10.1088/0031-9112/27/8/031","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0031-9112/27/8/031","pdf_url":"https://iopscience.iop.org/article/10.1088/0031-9112/27/8/031/pdf","source":{"id":"https://openalex.org/S2764513482","display_name":"Physics Bulletin","issn_l":"0031-9112","issn":["0031-9112"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics Bulletin","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/0031-9112/27/8/031","doi":"https://doi.org/10.1088/0031-9112/27/8/031","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0031-9112/27/8/031","pdf_url":"https://iopscience.iop.org/article/10.1088/0031-9112/27/8/031/pdf","source":{"id":"https://openalex.org/S2764513482","display_name":"Physics Bulletin","issn_l":"0031-9112","issn":["0031-9112"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics Bulletin","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2596578377.pdf","grobid_xml":"https://content.openalex.org/works/W2596578377.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1669598283","https://openalex.org/W2728402325","https://openalex.org/W3081553723","https://openalex.org/W7095499644","https://openalex.org/W7097962496","https://openalex.org/W4210330081","https://openalex.org/W6988251595","https://openalex.org/W4205776358","https://openalex.org/W2124476601"],"abstract_inverted_index":{"F":[0],"G":[1],"Friedlander":[2],"London:":[3],"Cambridge":[4],"University":[5],"Press":[6],"1976":[7],"pp":[8],"ix":[9],"+":[10],"282":[11],"price":[12],"\u00a315":[13],"The":[14],"continuing":[15],"interest":[16],"in":[17,35,53,69],"general":[18],"relativity":[19],"has":[20],"created":[21],"the":[22,28,49,54,70,77,83],"need":[23],"for":[24,39,48],"a":[25,46,60],"book":[26,63],"on":[27,59,86],"rigorous":[29],"mathematical":[30],"theory":[31,78],"of":[32,41,56,72,79,82],"wave":[33,87],"propagation":[34,88],"curved":[36],"space\u2013time,":[37],"both":[38],"treatment":[40],"classical":[42],"radiation":[43],"and":[44,76,92],"as":[45],"basis":[47],"more":[50],"recent":[51],"developments":[52],"subject":[55],"quantum":[57],"fields":[58],"manifold.":[61],"This":[62],"meets":[64],"that":[65],"demand":[66],"by":[67],"treating":[68],"language":[71],"modern":[73],"differential":[74],"geometry":[75],"distributions":[80],"some":[81],"pioneering":[84],"work":[85],"due":[89],"to":[90],"Hadamard":[91],"Riesz.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":7}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2017-03-23T00:00:00"}
