The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse

[EN]A seminumerical approach proposed many years ago for describing gravitational collapse in the post-quasi-static approximation is modified in order to avoid the numerical integration of the basic differential equations the approach is based upon. For doing that we have to impose some restrictions...

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Autores: Herrera, Luis, Di Prisco, Alicia, Ospino Zúñiga, Justo Hernán
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/162343
Acceso en línea:http://hdl.handle.net/10366/162343
Access Level:acceso abierto
Palabra clave:Relativistic fluid
Gravitational collapse
Dissipative systems
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spelling The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational CollapseHerrera, LuisDi Prisco, AliciaOspino Zúñiga, Justo HernánRelativistic fluidGravitational collapseDissipative systems[EN]A seminumerical approach proposed many years ago for describing gravitational collapse in the post-quasi-static approximation is modified in order to avoid the numerical integration of the basic differential equations the approach is based upon. For doing that we have to impose some restrictions on the fluid distribution. More specifically, we shall assume the vanishing complexity factor condition, which allows for analytical integration of the pertinent differential equations and leads to physically interesting models. Instead, we show that neither the homologous nor the quasihomologous evolution are acceptable since they lead to geodesic fluids, which are unsuitable for being described in the post-quasi-static approximation. Also, we prove that, within this approximaCitation: Herrera, L.; Di Prisco, A.; Ospino, J. The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse. Symmetry 2024, 16, 341. https:// doi.org/10.3390/sym16030341 Academic Editors: Stefano Profumo, Sergei D. Odintsov, Sunil Kumar Tripathy, Dipanjali Behera and HoomanMoradpour Received: 9 February 2024 Revised: 23 February 2024 Accepted: 6 March 2024 Published: 12 March 2024 Copyright: © 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). tion, adiabatic evolution also leads to geodesic fluids, and therefore, we shall consider exclusively dissipative systems. Besides the vanishing complexity factor condition, additional information is required for a full description of models. We shall propose different strategies for obtaining such an information, which are based on observables quantities (e.g., luminosity and redshift), and/or heuristic mathematical ansatz. To illustrate the method, we present two models. One model is inspired in the well-known Schwarzschild interior solution, and another one is inspired in Tolman VI solution.MDPI202520252024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/162343reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésResearch Project No. PID2021-122938NB-I00.info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1623432026-06-07T06:28:51Z
dc.title.none.fl_str_mv The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse
title The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse
spellingShingle The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse
Herrera, Luis
Relativistic fluid
Gravitational collapse
Dissipative systems
title_short The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse
title_full The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse
title_fullStr The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse
title_full_unstemmed The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse
title_sort The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse
dc.creator.none.fl_str_mv Herrera, Luis
Di Prisco, Alicia
Ospino Zúñiga, Justo Hernán
author Herrera, Luis
author_facet Herrera, Luis
Di Prisco, Alicia
Ospino Zúñiga, Justo Hernán
author_role author
author2 Di Prisco, Alicia
Ospino Zúñiga, Justo Hernán
author2_role author
author
dc.subject.none.fl_str_mv Relativistic fluid
Gravitational collapse
Dissipative systems
topic Relativistic fluid
Gravitational collapse
Dissipative systems
description [EN]A seminumerical approach proposed many years ago for describing gravitational collapse in the post-quasi-static approximation is modified in order to avoid the numerical integration of the basic differential equations the approach is based upon. For doing that we have to impose some restrictions on the fluid distribution. More specifically, we shall assume the vanishing complexity factor condition, which allows for analytical integration of the pertinent differential equations and leads to physically interesting models. Instead, we show that neither the homologous nor the quasihomologous evolution are acceptable since they lead to geodesic fluids, which are unsuitable for being described in the post-quasi-static approximation. Also, we prove that, within this approximaCitation: Herrera, L.; Di Prisco, A.; Ospino, J. The Post-Quasi-Static Approximation: An Analytical Approach to Gravitational Collapse. Symmetry 2024, 16, 341. https:// doi.org/10.3390/sym16030341 Academic Editors: Stefano Profumo, Sergei D. Odintsov, Sunil Kumar Tripathy, Dipanjali Behera and HoomanMoradpour Received: 9 February 2024 Revised: 23 February 2024 Accepted: 6 March 2024 Published: 12 March 2024 Copyright: © 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). tion, adiabatic evolution also leads to geodesic fluids, and therefore, we shall consider exclusively dissipative systems. Besides the vanishing complexity factor condition, additional information is required for a full description of models. We shall propose different strategies for obtaining such an information, which are based on observables quantities (e.g., luminosity and redshift), and/or heuristic mathematical ansatz. To illustrate the method, we present two models. One model is inspired in the well-known Schwarzschild interior solution, and another one is inspired in Tolman VI solution.
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/162343
url http://hdl.handle.net/10366/162343
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Research Project No. PID2021-122938NB-I00.
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
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