{"id":"https://openalex.org/W4297347837","doi":"https://doi.org/10.3390/axioms11100506","title":"Homothetic Symmetries of Static Cylindrically Symmetric Spacetimes\u2014A Rif Tree Approach","display_name":"Homothetic Symmetries of Static Cylindrically Symmetric Spacetimes\u2014A Rif Tree Approach","publication_year":2022,"publication_date":"2022-09-26","ids":{"openalex":"https://openalex.org/W4297347837","doi":"https://doi.org/10.3390/axioms11100506"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11100506","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100506","pdf_url":"https://www.mdpi.com/2075-1680/11/10/506/pdf?version=1666606391","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/10/506/pdf?version=1666606391","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072999292","display_name":"Jamshed Khan","orcid":"https://orcid.org/0000-0002-5129-9749"},"institutions":[{"id":"https://openalex.org/I36001604","display_name":"University of Peshawar","ror":"https://ror.org/02t2qwf81","country_code":"PK","type":"education","lineage":["https://openalex.org/I36001604"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Jamshed Khan","raw_affiliation_strings":["Department of Mathematics, University of Peshawar, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Peshawar, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I36001604"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101990465","display_name":"Tahir Hussain","orcid":"https://orcid.org/0000-0003-2303-760X"},"institutions":[{"id":"https://openalex.org/I36001604","display_name":"University of Peshawar","ror":"https://ror.org/02t2qwf81","country_code":"PK","type":"education","lineage":["https://openalex.org/I36001604"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Tahir Hussain","raw_affiliation_strings":["Department of Mathematics, University of Peshawar, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Peshawar, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I36001604"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089964544","display_name":"Dania Santina","orcid":"https://orcid.org/0009-0009-0565-9924"},"institutions":[{"id":"https://openalex.org/I142024983","display_name":"Prince Sultan University","ror":"https://ror.org/053mqrf26","country_code":"SA","type":"education","lineage":["https://openalex.org/I142024983"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Dania Santina","raw_affiliation_strings":["Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia","institution_ids":["https://openalex.org/I142024983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021626938","display_name":"Nabil Mlaiki","orcid":"https://orcid.org/0000-0002-7986-886X"},"institutions":[{"id":"https://openalex.org/I142024983","display_name":"Prince Sultan University","ror":"https://ror.org/053mqrf26","country_code":"SA","type":"education","lineage":["https://openalex.org/I142024983"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Nabil Mlaiki","raw_affiliation_strings":["Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia","institution_ids":["https://openalex.org/I142024983"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101990465"],"corresponding_institution_ids":["https://openalex.org/I36001604"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.3744,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5747061,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"11","issue":"10","first_page":"506","last_page":"506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9923999905586243,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9794999957084656,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homothetic-transformation","display_name":"Homothetic transformation","score":0.9942576885223389},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.7614584565162659},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.7525876760482788},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.538276731967926},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4452303647994995},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4291520416736603},{"id":"https://openalex.org/keywords/spacetime","display_name":"Spacetime","score":0.4278472363948822},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38816654682159424},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3590467572212219},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.35654574632644653},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29440850019454956},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23047751188278198},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0857686996459961}],"concepts":[{"id":"https://openalex.org/C91709909","wikidata":"https://www.wikidata.org/wiki/Q583960","display_name":"Homothetic transformation","level":2,"score":0.9942576885223389},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.7614584565162659},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.7525876760482788},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.538276731967926},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4452303647994995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4291520416736603},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.4278472363948822},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38816654682159424},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3590467572212219},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.35654574632644653},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29440850019454956},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23047751188278198},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0857686996459961}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11100506","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100506","pdf_url":"https://www.mdpi.com/2075-1680/11/10/506/pdf?version=1666606391","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:38cbcee569b849cf8bcf121c60bb8eb6","is_oa":true,"landing_page_url":"https://doaj.org/article/38cbcee569b849cf8bcf121c60bb8eb6","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 10, p 506 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/10/506/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11100506","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 10; Pages: 506","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11100506","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100506","pdf_url":"https://www.mdpi.com/2075-1680/11/10/506/pdf?version=1666606391","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4297347837.pdf","grobid_xml":"https://content.openalex.org/works/W4297347837.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1626776080","https://openalex.org/W1953478438","https://openalex.org/W1965067619","https://openalex.org/W2011191184","https://openalex.org/W2027933892","https://openalex.org/W2039242689","https://openalex.org/W2039981485","https://openalex.org/W2058706208","https://openalex.org/W2063936939","https://openalex.org/W2066994720","https://openalex.org/W2078715683","https://openalex.org/W2082408640","https://openalex.org/W2124235957","https://openalex.org/W2128701140","https://openalex.org/W2154208952","https://openalex.org/W2997098142","https://openalex.org/W3007463555","https://openalex.org/W3160087983"],"related_works":["https://openalex.org/W1994989603","https://openalex.org/W2371284713","https://openalex.org/W2065181797","https://openalex.org/W1972267169","https://openalex.org/W2029211066","https://openalex.org/W1816173151","https://openalex.org/W1566328901","https://openalex.org/W2392521623","https://openalex.org/W34357983","https://openalex.org/W2770089535"],"abstract_inverted_index":{"In":[0],"this":[1,15],"paper,":[2],"we":[3,18,46],"find":[4],"all":[5,32,54],"static,":[6,34],"cylindrically":[7,35],"symmetric":[8,36],"spacetime":[9],"metrics":[10,37,56,89],"admitting":[11],"homothetic":[12,21,42,50,63],"symmetries.":[13],"For":[14],"purpose,":[16],"first":[17],"analyze":[19],"the":[20,49,59,68,81,88],"symmetry":[22,51,64],"equations":[23,52],"by":[24,92],"an":[25],"algorithm":[26],"developed":[27],"in":[28],"Maple":[29],"which":[30],"gives":[31],"possible":[33],"that":[38,80],"may":[39],"possess":[40],"proper":[41],"symmetry.":[43],"After":[44],"that,":[45],"have":[47],"solved":[48],"for":[53],"these":[55],"to":[57],"get":[58],"final":[60],"form":[61],"of":[62,73],"vector":[65],"fields.":[66],"Comparing":[67],"obtained":[69],"results":[70],"with":[71],"those":[72],"direct":[74,93],"integration":[75,94],"technique,":[76,95],"it":[77,97],"is":[78],"observed":[79],"Rif":[82],"tree":[83],"approach":[84],"not":[85],"only":[86],"recovers":[87],"already":[90],"found":[91],"but":[96],"also":[98],"produces":[99],"some":[100],"new":[101],"metrics.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2022-09-28T00:00:00"}