{"id":"https://openalex.org/W3125896267","doi":"https://doi.org/10.1142/s0217751x21500159","title":"Wormhole solutions in embedding class 1 space\u2013time","display_name":"Wormhole solutions in embedding class 1 space\u2013time","publication_year":2021,"publication_date":"2021-01-20","ids":{"openalex":"https://openalex.org/W3125896267","doi":"https://doi.org/10.1142/s0217751x21500159","mag":"3125896267"},"language":"en","primary_location":{"id":"doi:10.1142/s0217751x21500159","doi":"https://doi.org/10.1142/s0217751x21500159","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217751x21500159","pdf_url":null,"source":{"id":"https://openalex.org/S68175919","display_name":"International Journal of Modern Physics A","issn_l":"0217-751X","issn":["0217-751X","1793-656X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modern Physics A","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/A5068769799","display_name":"Nayan Sarkar","orcid":"https://orcid.org/0000-0002-3489-6509","observed_orcids":["https://orcid.org/0000-0002-3489-6509"]},"institutions":[{"id":"https://openalex.org/I170979836","display_name":"Jadavpur University","ror":"https://ror.org/02af4h012","country_code":"IN","type":"education","lineage":["https://openalex.org/I170979836"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nayan Sarkar","raw_affiliation_strings":["Department of Mathematics, Jadavpur University, Kolkata 700032, India","Department of Mathematics, Karimpur Pannadevi College, Karimpur-741152, Nadia, West Bengal, India","Department of Mathematics, Jadavpur University, Kolkata 700032, India; Department of Mathematics, Karimpur Pannadevi College, Karimpur-741152, Nadia, West Bengal, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jadavpur University, Kolkata 700032, India","institution_ids":["https://openalex.org/I170979836"]},{"raw_affiliation_string":"Department of Mathematics, Karimpur Pannadevi College, Karimpur-741152, Nadia, West Bengal, India","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Jadavpur University, Kolkata 700032, India; Department of Mathematics, Karimpur Pannadevi College, Karimpur-741152, Nadia, West Bengal, India","institution_ids":["https://openalex.org/I170979836"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Susmita Sarkar","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I170979836","display_name":"Jadavpur University","ror":"https://ror.org/02af4h012","country_code":"IN","type":"education","lineage":["https://openalex.org/I170979836"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Susmita Sarkar","raw_affiliation_strings":["Department of Mathematics, Jadavpur University, Kolkata 700032, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jadavpur University, Kolkata 700032, India","institution_ids":["https://openalex.org/I170979836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078992910","display_name":"Farook Rahaman A","orcid":"https://orcid.org/0000-0003-0594-4783","observed_orcids":["https://orcid.org/0000-0003-0594-4783","https://orcid.org/0000-0003-4923-7079"]},"institutions":[{"id":"https://openalex.org/I170979836","display_name":"Jadavpur University","ror":"https://ror.org/02af4h012","country_code":"IN","type":"education","lineage":["https://openalex.org/I170979836"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Farook Rahaman","raw_affiliation_strings":["Department of Mathematics, Jadavpur University, Kolkata 700032, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jadavpur University, Kolkata 700032, India","institution_ids":["https://openalex.org/I170979836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004811666","display_name":"Safiqul Islam","orcid":"https://orcid.org/0000-0003-1373-4137","observed_orcids":["https://orcid.org/0000-0003-1373-4137"]},"institutions":[{"id":"https://openalex.org/I4210122399","display_name":"St Theresa International College","ror":"https://ror.org/0311whq26","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210122399"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Safiqul Islam","raw_affiliation_strings":["Department of Mathematics, St. Theresa International College, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Theresa International College, Thailand","institution_ids":["https://openalex.org/I4210122399"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5185,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.57345811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":"36","issue":"02","first_page":"2150015","last_page":"2150015"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9491999745368958,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9491999745368958,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.01600000075995922,"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":0.01080000028014183,"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/wormholes","display_name":"wormholes","score":0.7839999794960022},{"id":"https://openalex.org/keywords/karmarkar-condition","display_name":"Karmarkar condition","score":0.9639999866485596},{"id":"https://openalex.org/keywords/embedding-theorems","display_name":"embedding theorems","score":0.8109999895095825},{"id":"https://openalex.org/keywords/spherically-symmetric-solutions","display_name":"spherically symmetric solutions","score":0.8930000066757202},{"id":"https://openalex.org/keywords/einstein-field-equations","display_name":"Einstein field equations","score":0.8899999856948853},{"id":"https://openalex.org/keywords/null-energy-condition-violation","display_name":"null energy condition violation","score":0.972000002861023},{"id":"https://openalex.org/keywords/strong-energy-condition","display_name":"strong energy condition","score":0.9300000071525574},{"id":"https://openalex.org/keywords/exotic-matter","display_name":"exotic matter","score":0.9959999918937683},{"id":"https://openalex.org/keywords/redshift-function","display_name":"redshift function","score":0.8259999752044678},{"id":"https://openalex.org/keywords/shape-functions","display_name":"shape functions","score":0.8769999742507935},{"id":"https://openalex.org/keywords/flare-out-condition","display_name":"flare-out condition","score":0.9819999933242798},{"id":"https://openalex.org/keywords/asymptotically-flat-spacetimes","display_name":"asymptotically flat spacetimes","score":0.9259999990463257}],"concepts":[{"id":"https://openalex.org/C29013271","wikidata":"https://www.wikidata.org/wiki/Q7544","display_name":"Wormhole","level":2,"score":0.9734300374984741},{"id":"https://openalex.org/C51879265","wikidata":"https://www.wikidata.org/wiki/Q1384211","display_name":"Exotic matter","level":4,"score":0.6712925434112549},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6693084239959717},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5459068417549133},{"id":"https://openalex.org/C149643647","wikidata":"https://www.wikidata.org/wiki/Q986455","display_name":"Energy condition","level":3,"score":0.4791252613067627},{"id":"https://openalex.org/C115304011","wikidata":"https://www.wikidata.org/wiki/Q72755","display_name":"Schwarzschild radius","level":3,"score":0.4523351192474365},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.4271838963031769},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37858855724334717},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.3409698009490967},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.292709618806839},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.25870513916015625},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23651123046875},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.1284659504890442},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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":"doi:10.1142/s0217751x21500159","doi":"https://doi.org/10.1142/s0217751x21500159","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217751x21500159","pdf_url":null,"source":{"id":"https://openalex.org/S68175919","display_name":"International Journal of Modern Physics A","issn_l":"0217-751X","issn":["0217-751X","1793-656X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modern Physics A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W87540545","https://openalex.org/W1528560481","https://openalex.org/W1585137913","https://openalex.org/W1968798764","https://openalex.org/W1981122113","https://openalex.org/W1984882021","https://openalex.org/W1990678913","https://openalex.org/W1992059784","https://openalex.org/W2002365735","https://openalex.org/W2023642992","https://openalex.org/W2024454203","https://openalex.org/W2032573087","https://openalex.org/W2034694001","https://openalex.org/W2050605995","https://openalex.org/W2057734178","https://openalex.org/W2073862476","https://openalex.org/W2090749997","https://openalex.org/W2094804543","https://openalex.org/W2110955329","https://openalex.org/W2119193621","https://openalex.org/W2129015709","https://openalex.org/W2135721010","https://openalex.org/W2146697425","https://openalex.org/W2162531197","https://openalex.org/W2164003752","https://openalex.org/W2297596203","https://openalex.org/W2298307806","https://openalex.org/W2313896841","https://openalex.org/W2591988865","https://openalex.org/W2614641242","https://openalex.org/W2738982209","https://openalex.org/W2751245536","https://openalex.org/W2767524343","https://openalex.org/W2793084871","https://openalex.org/W2799104913","https://openalex.org/W2801149703","https://openalex.org/W2899785638","https://openalex.org/W2906986501","https://openalex.org/W2921597474","https://openalex.org/W2937669969","https://openalex.org/W2939221845","https://openalex.org/W2948238782","https://openalex.org/W2949320612","https://openalex.org/W2963246914","https://openalex.org/W2967436726","https://openalex.org/W2978975431","https://openalex.org/W2979562664","https://openalex.org/W2990811863","https://openalex.org/W2998941321","https://openalex.org/W2998996685","https://openalex.org/W3002609495","https://openalex.org/W3005112370","https://openalex.org/W3009753973","https://openalex.org/W3088867793","https://openalex.org/W4229824384","https://openalex.org/W4249391714"],"related_works":["https://openalex.org/W2899226334","https://openalex.org/W3202374842","https://openalex.org/W4323536836","https://openalex.org/W4288096945","https://openalex.org/W3204289552","https://openalex.org/W3011697406","https://openalex.org/W3141090192","https://openalex.org/W4280491304","https://openalex.org/W4389742330","https://openalex.org/W4407419694"],"abstract_inverted_index":{"The":[0,25,45,82],"present":[1],"work":[2],"looks":[3],"for":[4,150],"new":[5],"spherically":[6],"symmetric":[7],"wormhole":[8,51,102,135,154],"solutions":[9,62,111],"of":[10,106,140,160],"the":[11,17,40,50,55,90,94,110,113,124,130,138,142,152,158,187,193],"Einstein":[12,46],"field":[13,47],"equations":[14,48],"based":[15],"on":[16],"well-known":[18],"embedding":[19,26,78],"class":[20,79],"1,":[21],"i.e.":[22,97,122],"Karmarkar":[23],"condition.":[24],"theorems":[27],"have":[28],"an":[29,34],"interesting":[30],"property":[31],"that":[32],"connects":[33],"[Formula:":[35,184],"see":[36,185],"text]-dimensional":[37],"space\u2013time":[38],"to":[39,66,100,157,192],"higher-dimensional":[41],"Euclidean":[42],"flat":[43,169],"space\u2013time.":[44,81],"yield":[49],"solution":[52,143],"by":[53],"violating":[54,151],"null":[56],"energy":[57,119],"condition":[58,92,120],"(NEC).":[59],"Here,":[60],"wormholes":[61,131],"are":[63,167],"obtained":[64,83],"corresponding":[65],"three":[67],"different":[68],"redshift":[69],"functions:":[70],"rational,":[71],"logarithm,":[72],"and":[73,108,132,165,190],"inverse":[74],"trigonometric":[75],"functions,":[76],"in":[77,86],"1":[80],"shape":[84],"function":[85],"each":[87],"case":[88,139],"satisfies":[89,147],"flare-out":[91],"after":[93,180],"throat":[95],"radius,":[96,189],"good":[98],"enough":[99],"represents":[101],"structure.":[103],"In":[104,137],"cases":[105],"WH1":[107,164],"WH2,":[109],"violate":[112],"NEC":[114,145,153],"as":[115,117],"well":[116],"strong":[118],"(SEC),":[121],"here":[123],"exotic":[125,161],"matter":[126],"content":[127],"exists":[128],"within":[129],"strongly":[133],"sustains":[134],"structures.":[136],"WH3,":[141],"violates":[144],"but":[146],"SEC,":[148],"so":[149],"preserve":[155],"due":[156],"presence":[159],"matter.":[162],"Moreover,":[163],"WH2":[166],"asymptotically":[168,174],"while":[170],"WH3":[171,178],"is":[172],"not":[173],"flat.":[175],"So,":[176],"indeed,":[177],"cutoff":[179],"some":[181],"radial":[182],"distance":[183],"text],":[186],"Schwarzschild":[188],"match":[191],"external":[194],"vacuum":[195],"solution.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-02-01T00:00:00"}
