This paper explored the physical acceptability conditions for anisotropic matter configurations in General Relativity. The study considered a generalized polytropic equation of state $$P=\kappa {\rho }^{\gamma }+\alpha \rho -\beta $$ for a heuristic anisotropy. We integrated the corresponding Lane–Emden equation for several hundred models and found the parameter-space portion ensuring the physical acceptability of the configurations. Polytropes based on the total energy density are more viable than those with baryonic density, and small positive local anisotropies produce acceptable models. We also found that polytropic configurations where tangential pressures are greater than radial ones are also more acceptable. Finally, convective disturbances do not generate cracking instabilities. Several models emerging from our simulations could represent candidates of astrophysical compact objects.
{ "_oai": { "updated": "2022-10-24T03:31:13Z", "id": "oai:repo.scoap3.org:68175", "sets": [ "EPJC" ] }, "authors": [ { "affiliations": [ { "country": "Colombia", "value": "Escuela de F\u00edsica, Universidad Industrial de Santander, Bucaramanga, 680002, Colombia", "organization": "Escuela de F\u00edsica, Universidad Industrial de Santander" } ], "surname": "Su\u00e1rez-Urango", "given_names": "Daniel", "full_name": "Su\u00e1rez-Urango, Daniel" }, { "affiliations": [ { "country": "Spain", "value": "Departamento de Matem\u00e1tica Aplicada, Instituto Universitario de F\u00edsica Fundamental y Matem\u00e1ticas, Universidad de Salamanca, Salamanca, Spain", "organization": "Universidad de Salamanca" } ], "surname": "Ospino", "email": "j.ospino@usal.es", "full_name": "Ospino, Justo", "given_names": "Justo" }, { "affiliations": [ { "country": "Colombia", "value": "Escuela de F\u00edsica, Universidad Industrial de Santander, Bucaramanga, 680002, Colombia", "organization": "Escuela de F\u00edsica, Universidad Industrial de Santander" }, { "country": "Venezuela", "value": "Departamento de F\u00edsica, Universidad de Los Andes, M\u00e9rida, 5101, Venezuela", "organization": "Universidad de Los Andes" } ], "surname": "Hern\u00e1ndez", "email": "hector@ula.ve", "full_name": "Hern\u00e1ndez, H\u00e9ctor", "given_names": "H\u00e9ctor" }, { "affiliations": [ { "country": "Colombia", "value": "Escuela de F\u00edsica, Universidad Industrial de Santander, Bucaramanga, 680002, Colombia", "organization": "Escuela de F\u00edsica, Universidad Industrial de Santander" }, { "country": "Venezuela", "value": "Departamento de F\u00edsica, Universidad de Los Andes, M\u00e9rida, 5101, Venezuela", "organization": "Universidad de Los Andes" } ], "surname": "N\u00fa\u00f1ez", "email": "lnunez@uis.edu.co", "full_name": "N\u00fa\u00f1ez, Luis", "given_names": "Luis" } ], "titles": [ { "source": "Springer", "title": "Acceptability conditions and relativistic anisotropic generalized polytropes" } ], "dois": [ { "value": "10.1140/epjc/s10052-022-10119-0" } ], "publication_info": [ { "page_end": "22", "journal_title": "European Physical Journal C", "material": "article", "journal_volume": "82", "artid": "s10052-022-10119-0", "year": 2022, "page_start": "1", "journal_issue": "2" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-10-24T03:30:24.028055", "source": "Springer", "method": "Springer", "submission_number": "23ccb2b0534c11eda33ab6e03099cfc1" }, "page_nr": [ 22 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2022" } ], "control_number": "68175", "record_creation_date": "2022-02-28T11:53:59.136987", "_files": [ { "checksum": "md5:fd1c0f89760bc510cac02b65b4854856", "filetype": "xml", "bucket": "d633d98e-6f25-488d-a3af-35b36b5efb7c", "version_id": "55324b1e-4f4a-40ec-8a5a-00107ef98e19", "key": "10.1140/epjc/s10052-022-10119-0.xml", "size": 14598 }, { "checksum": "md5:35ee5e83992d22cd85a2e65d033165a1", "filetype": "pdf/a", "bucket": "d633d98e-6f25-488d-a3af-35b36b5efb7c", "version_id": "c65ddbd4-1c56-452f-baad-49ee67e0ce7e", "key": "10.1140/epjc/s10052-022-10119-0_a.pdf", "size": 2918455 } ], "collections": [ { "primary": "European Physical Journal C" } ], "abstracts": [ { "source": "Springer", "value": "This paper explored the physical acceptability conditions for anisotropic matter configurations in General Relativity. The study considered a generalized polytropic equation of state $$P=\\kappa {\\rho }^{\\gamma }+\\alpha \\rho -\\beta $$ <math> <mrow> <mi>P</mi> <mo>=</mo> <mi>\u03ba</mi> <msup> <mrow> <mi>\u03c1</mi> </mrow> <mi>\u03b3</mi> </msup> <mo>+</mo> <mi>\u03b1</mi> <mi>\u03c1</mi> <mo>-</mo> <mi>\u03b2</mi> </mrow> </math> for a heuristic anisotropy. We integrated the corresponding Lane\u2013Emden equation for several hundred models and found the parameter-space portion ensuring the physical acceptability of the configurations. Polytropes based on the total energy density are more viable than those with baryonic density, and small positive local anisotropies produce acceptable models. We also found that polytropic configurations where tangential pressures are greater than radial ones are also more acceptable. Finally, convective disturbances do not generate cracking instabilities. Several models emerging from our simulations could represent candidates of astrophysical compact objects." } ], "imprints": [ { "date": "2022-02-25", "publisher": "Springer" } ] }