{"id":"https://openalex.org/W7208713079","doi":"https://doi.org/10.48550/arxiv.2609.03393","title":"Solutions for neutron stars in General Relativity from a complexity structure scalar boundary condition","display_name":"Solutions for neutron stars in General Relativity from a complexity structure scalar boundary condition","publication_year":2026,"publication_date":"2026-09-03","ids":{"openalex":"https://openalex.org/W7208713079","doi":"https://doi.org/10.48550/arxiv.2609.03393"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.03393","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.03393","pdf_url":"https://arxiv.org/pdf/2609.03393","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.03393","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048031479","display_name":"Robert S. Bogadi","orcid":"https://orcid.org/0000-0002-6692-7648","observed_orcids":["https://orcid.org/0000-0002-6692-7648"]},"institutions":[{"id":"https://openalex.org/I177181097","display_name":"Durban University of Technology","ror":"https://ror.org/0303y7a51","country_code":"ZA","type":"education","lineage":["https://openalex.org/I177181097"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Bogadi, Robert S.","raw_affiliation_strings":["Department of Mathematics , Faculty of Applied Sciences , Durban University of Technology , Durban 4000 , South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Faculty of Applied Sciences , Durban University of Technology , Durban 4000 , South Africa","institution_ids":["https://openalex.org/I177181097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030274963","display_name":"Megandhren Govender","orcid":"https://orcid.org/0000-0001-6110-9526","observed_orcids":["https://orcid.org/0000-0001-6110-9526"]},"institutions":[{"id":"https://openalex.org/I177181097","display_name":"Durban University of Technology","ror":"https://ror.org/0303y7a51","country_code":"ZA","type":"education","lineage":["https://openalex.org/I177181097"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Govender, Megandhren","raw_affiliation_strings":["Department of Mathematics , Faculty of Applied Sciences , Durban University of Technology , Durban 4000 , South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Faculty of Applied Sciences , Durban University of Technology , Durban 4000 , South Africa","institution_ids":["https://openalex.org/I177181097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123936659","display_name":"Genly Leon","orcid":"https://orcid.org/0000-0002-1152-6548","observed_orcids":["https://orcid.org/0000-0002-1152-6548"]},"institutions":[{"id":"https://openalex.org/I177181097","display_name":"Durban University of Technology","ror":"https://ror.org/0303y7a51","country_code":"ZA","type":"education","lineage":["https://openalex.org/I177181097"]},{"id":"https://openalex.org/I2802166871","display_name":"Universidad Cat\u00f3lica del Norte","ror":"https://ror.org/02akpm128","country_code":"CL","type":"education","lineage":["https://openalex.org/I2802166871"]}],"countries":["CL","ZA"],"is_corresponding":false,"raw_author_name":"Leon, Genly","raw_affiliation_strings":["Departamento de Matem\u00e1ticas , Universidad Cat\u00f3lica del Norte , Avdenida Angamos 0610 , Casilla 1280 , Antofagasta , Chile , Antofagasta , Chile","Institute of Systems Science , Durban University of Technology , Durban 4000 , South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas , Universidad Cat\u00f3lica del Norte , Avdenida Angamos 0610 , Casilla 1280 , Antofagasta , Chile , Antofagasta , Chile","institution_ids":["https://openalex.org/I2802166871"]},{"raw_affiliation_string":"Institute of Systems Science , Durban University of Technology , Durban 4000 , South Africa","institution_ids":["https://openalex.org/I177181097"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5129842047","display_name":"Andronikos Paliathanasis","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paliathanasis, Andronikos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.8812999725341797,"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.8812999725341797,"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":0.052799999713897705,"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":0.019300000742077827,"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/neutron-stars","display_name":"neutron stars","score":0.9520000219345093},{"id":"https://openalex.org/keywords/boundary-conditions","display_name":"boundary conditions","score":0.7379999756813049},{"id":"https://openalex.org/keywords/anisotropic-fluid","display_name":"anisotropic fluid","score":0.859000027179718},{"id":"https://openalex.org/keywords/strong-gravitational-fields","display_name":"strong gravitational fields","score":0.5870000123977661},{"id":"https://openalex.org/keywords/general-relativity","display_name":"general relativity","score":0.47999998927116394}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.636900007724762},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5918999910354614},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.5917999744415283},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5476999878883362},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.44920000433921814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4180000126361847},{"id":"https://openalex.org/C31836371","wikidata":"https://www.wikidata.org/wiki/Q1856609","display_name":"Scalar potential","level":2,"score":0.39739999175071716},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.3910999894142151},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35409998893737793},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3409999907016754},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.33799999952316284},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C149324446","wikidata":"https://www.wikidata.org/wiki/Q43514","display_name":"Theory of relativity","level":2,"score":0.30730000138282776},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3034999966621399},{"id":"https://openalex.org/C44715290","wikidata":"https://www.wikidata.org/wiki/Q13012237","display_name":"Numerical relativity","level":3,"score":0.29649999737739563},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.29319998621940613},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.28189998865127563},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26969999074935913},{"id":"https://openalex.org/C165748483","wikidata":"https://www.wikidata.org/wiki/Q6058963","display_name":"Introduction to the mathematics of general relativity","level":4,"score":0.25600001215934753},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.25450000166893005}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.03393","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.03393","pdf_url":"https://arxiv.org/pdf/2609.03393","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.03393","doi":"https://doi.org/10.48550/arxiv.2609.03393","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.03393","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.03393","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.03393","pdf_url":"https://arxiv.org/pdf/2609.03393","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309965","display_name":"Durban University of Technology","ror":"https://ror.org/0303y7a51"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7208713079.pdf","grobid_xml":"https://content.openalex.org/works/W7208713079.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W3113431819","https://openalex.org/W4407384900","https://openalex.org/W4411010348","https://openalex.org/W7160923598"],"related_works":["https://openalex.org/W4409800244","https://openalex.org/W4399265168","https://openalex.org/W7171923597","https://openalex.org/W7163734601","https://openalex.org/W4365141333","https://openalex.org/W4409202072","https://openalex.org/W7119465364","https://openalex.org/W3214111424","https://openalex.org/W2899853328","https://openalex.org/W2885686304"],"abstract_inverted_index":{"A":[0],"new":[1],"condition":[2,31],"involving":[3],"the":[4,12,16,22,34,66,72,88,95],"complexity":[5,67,78],"factor,":[6],"a":[7,25,37,60,80],"structure":[8],"scalar":[9,68],"arising":[10],"from":[11],"orthogonal":[13],"splitting":[14],"of":[15,24,36],"Riemann":[17],"tensor,":[18],"is":[19,52,59,79],"generated":[20,51],"at":[21,71,87],"boundary":[23],"spherically":[26],"symmetric":[27],"anisotropic":[28],"fluid.":[29],"This":[30,74],"leads":[32],"to":[33],"generation":[35],"model,":[38],"without":[39],"invoking":[40],"any":[41],"further":[42],"constraints":[43],"on":[44,65],"geometry":[45],"or":[46],"matter":[47],"variables.":[48],"The":[49],"model":[50],"physically":[53],"reasonable":[54],"and":[55],"suggests":[56,75],"that":[57,76],"there":[58],"non-zero,":[61],"positive":[62],"minimum":[63],"constraint":[64,82],"value":[69],"evaluated":[70],"surface.":[73],"vanishing":[77],"globalized":[81],"which":[83],"does":[84],"not":[85],"apply":[86],"boundary,":[89],"specifically":[90],"for":[91],"compact":[92],"objects":[93],"in":[94],"strong-gravity":[96],"regime.":[97]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-05T00:00:00"}