{"id":"https://openalex.org/W7225406338","doi":"https://doi.org/10.17605/osf.io/bt3za","title":"Anisotropic Thin Shell Around a 3 Solar Mass Core: Static Equilibrium, Radial Stability, Vacuum Limit, Thickness Constraints, Equation of State, Constant-Sound-Speed Closure and Finite-Thickness Test","display_name":"Anisotropic Thin Shell Around a 3 Solar Mass Core: Static Equilibrium, Radial Stability, Vacuum Limit, Thickness Constraints, Equation of State, Constant-Sound-Speed Closure and Finite-Thickness Test","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225406338","doi":"https://doi.org/10.17605/osf.io/bt3za"},"language":"en","primary_location":{"id":"pmh:oai:share.osf.io:470d065e-2cb3-4ebc-a4c2-3b715f2fec0c","doi":null,"is_oa":true,"landing_page_url":"https://doi.org/10.17605/OSF.IO/BT3ZA","pdf_url":null,"source":{"id":"https://openalex.org/S4306401127","display_name":"OSF Preprints (OSF Preprints)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799848540","host_organization_name":"Center for Open Science","host_organization_lineage":["https://openalex.org/I2799848540"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Project"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.17605/OSF.IO/BT3ZA","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5156378298","display_name":"Marcin S\u0142owik","orcid":"https://orcid.org/0009-0004-6707-4546","observed_orcids":["https://orcid.org/0009-0004-6707-4546"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Marcin S\u0142owik","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0004-6707-4546","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5156378298"],"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9907000064849854,"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":0.9907000064849854,"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/T10744","display_name":"Astrophysical Phenomena and Observations","score":0.0034000000450760126,"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":0.0010000000474974513,"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/pressure-anisotropy","display_name":"anisotropic pressure","score":0.8080000281333923},{"id":"https://openalex.org/keywords/darmois-israel-junction-conditions","display_name":"Darmois-Israel junction conditions","score":0.8889999985694885},{"id":"https://openalex.org/keywords/radial-stability","display_name":"radial stability","score":0.8809999823570251},{"id":"https://openalex.org/keywords/critical-stiffness","display_name":"critical stiffness","score":0.531000018119812},{"id":"https://openalex.org/keywords/equation-of-state","display_name":"equation of state","score":0.6909999847412109},{"id":"https://openalex.org/keywords/polytropic-equation-of-state","display_name":"polytropic equation of state","score":0.8970000147819519},{"id":"https://openalex.org/keywords/energy-conditions","display_name":"energy conditions","score":0.8610000014305115},{"id":"https://openalex.org/keywords/gravitational-wave-echoes","display_name":"gravitational wave echoes","score":0.8379999995231628}],"concepts":[{"id":"https://openalex.org/C142475440","wikidata":"https://www.wikidata.org/wiki/Q831024","display_name":"Polytropic process","level":2,"score":0.6549999713897705},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6381000280380249},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5813999772071838},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.569599986076355},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5047000050544739},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.48489999771118164},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.47200000286102295},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4221000075340271},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4162999987602234},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.39980000257492065},{"id":"https://openalex.org/C4708273","wikidata":"https://www.wikidata.org/wiki/Q900222","display_name":"Quasistatic process","level":2,"score":0.3813000023365021},{"id":"https://openalex.org/C53810900","wikidata":"https://www.wikidata.org/wiki/Q214967","display_name":"Equation of state","level":2,"score":0.35989999771118164},{"id":"https://openalex.org/C108280814","wikidata":"https://www.wikidata.org/wiki/Q12137","display_name":"Spherical shell","level":3,"score":0.3490000069141388},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.3391999900341034},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.33239999413490295},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.3240000009536743},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3190999925136566},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2989000082015991},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.29010000824928284},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.2863999903202057},{"id":"https://openalex.org/C149643647","wikidata":"https://www.wikidata.org/wiki/Q986455","display_name":"Energy condition","level":3,"score":0.2833000123500824},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C118396296","wikidata":"https://www.wikidata.org/wiki/Q329273","display_name":"Gravitational collapse","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C195839","wikidata":"https://www.wikidata.org/wiki/Q901959","display_name":"Surface energy","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C134853933","wikidata":"https://www.wikidata.org/wiki/Q208641","display_name":"Hydrostatic equilibrium","level":2,"score":0.26429998874664307},{"id":"https://openalex.org/C158522163","wikidata":"https://www.wikidata.org/wiki/Q2406217","display_name":"Static pressure","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C84551667","wikidata":"https://www.wikidata.org/wiki/Q155640","display_name":"Potential energy","level":2,"score":0.2540999948978424},{"id":"https://openalex.org/C541104983","wikidata":"https://www.wikidata.org/wiki/Q40015","display_name":"Solar energy","level":2,"score":0.25220000743865967},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:share.osf.io:470d065e-2cb3-4ebc-a4c2-3b715f2fec0c","doi":null,"is_oa":true,"landing_page_url":"https://doi.org/10.17605/OSF.IO/BT3ZA","pdf_url":null,"source":{"id":"https://openalex.org/S4306401127","display_name":"OSF Preprints (OSF Preprints)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799848540","host_organization_name":"Center for Open Science","host_organization_lineage":["https://openalex.org/I2799848540"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Project"},{"id":"doi:10.17605/osf.io/bt3za","doi":"https://doi.org/10.17605/osf.io/bt3za","is_oa":true,"landing_page_url":"https://doi.org/10.17605/osf.io/bt3za","pdf_url":null,"source":{"id":"https://openalex.org/S7407050956","display_name":"Open Science Framework","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799848540","host_organization_name":"Center for Open Science","host_organization_lineage":["https://openalex.org/I2799848540"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:share.osf.io:470d065e-2cb3-4ebc-a4c2-3b715f2fec0c","doi":null,"is_oa":true,"landing_page_url":"https://doi.org/10.17605/OSF.IO/BT3ZA","pdf_url":null,"source":{"id":"https://openalex.org/S4306401127","display_name":"OSF Preprints (OSF Preprints)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799848540","host_organization_name":"Center for Open Science","host_organization_lineage":["https://openalex.org/I2799848540"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Project"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7225264131","https://openalex.org/W2334898393","https://openalex.org/W7219875870","https://openalex.org/W4317742780","https://openalex.org/W4404184513","https://openalex.org/W4391735710","https://openalex.org/W1620496216","https://openalex.org/W1967787945","https://openalex.org/W7202295248","https://openalex.org/W7219003244"],"abstract_inverted_index":{"This":[0],"monograph":[1,65],"investigates":[2],"whether":[3],"collapsing":[4],"matter":[5],"with":[6,25,152,175],"a":[7,21,29,39,92,176],"mass":[8],"of":[9,48,72,96,114,127,134,155,168],"approximately":[10],"three":[11],"solar":[12],"masses":[13],"can":[14],"avoid":[15],"gravitational":[16],"singularity":[17],"formation":[18],"by":[19,53,172],"developing":[20],"rigid":[22],"thin":[23],"shell":[24,138],"anisotropic":[26,157],"stresses":[27],"surrounding":[28],"regular":[30],"fluid":[31],"core.":[32,160],"Combining":[33],"Parts":[34],"I":[35],"through":[36],"IV":[37],"into":[38],"single":[40],"volume,":[41],"the":[42,45,64,73,86,112,148,153,166,169],"work":[43],"explores":[44],"theoretical":[46],"feasibility":[47],"non-singular":[49],"compact":[50],"objects":[51],"supported":[52],"pressure":[54],"anisotropy":[55],"and":[56,69,77,111,118,123,130,162,184],"high-density":[57],"surface":[58,125],"layers.":[59],"\u200bKey":[60],"aspects":[61],"covered":[62],"in":[63],"include:":[66],"\u200bStatic":[67],"Equilibrium":[68],"Stability:":[70],"Analysis":[71],"Darmois-Israel":[74],"junction":[75],"conditions":[76],"linear":[78,103],"radial":[79],"stability,":[80],"establishing":[81],"exact":[82],"closed-form":[83],"expressions":[84],"for":[85,121,147,192],"critical":[87],"stiffness":[88],"required":[89],"to":[90],"maintain":[91],"stable":[93],"configuration.":[94],"\u200bEquation":[95],"State":[97],"Constraints:":[98,132],"Proof":[99],"demonstrating":[100],"that":[101,141],"standard":[102],"closures":[104],"are":[105,145],"unstable":[106],"across":[107],"all":[108],"compactness":[109],"parameters,":[110],"derivation":[113],"an":[115,156,181],"allowable":[116],"stability":[117],"causality":[119],"window":[120],"polytropic":[122],"constant-sound-speed":[124],"equations":[126],"state.":[128],"\u200bCore":[129],"Thickness":[131],"Evaluation":[133],"self-consistency":[135],"requirements":[136],"regarding":[137],"thickness,":[139],"revealing":[140],"ultra-high":[142],"nuclear":[143],"densities":[144],"necessary":[146],"thin-shell":[149,170],"approximation,":[150],"along":[151],"incorporation":[154],"Tolman-Oppenheimer-Volkoff":[158],"interior":[159],"\u200bFinite-Thickness":[161],"Energy":[163],"Conditions:":[164],"Testing":[165],"robustness":[167],"limit":[171],"replacing":[173],"it":[174],"finite-thickness":[177],"layer":[178],"(modeled":[179],"as":[180],"Einstein-cluster":[182],"limit)":[183],"examining":[185],"local":[186],"energy":[187],"conditions,":[188],"alongside":[189],"preliminary":[190],"estimates":[191],"external":[193],"gravitational-wave":[194],"echo":[195],"delays.":[196]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-07T00:00:00"}
