An Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solution

A family of exact simple solutions of Einstein field equations for homogeneous stiff cosmologies is presented. The method to obtain the solution is based on the introduction of auxiliary functions in order to cast the Einstein equations in such a way that can be explicitly integrated. The obtained s...

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Fecha de publicación:
2007
Institución:
Universidad Industrial de Santander
Repositorio:
Repositorio UIS
Idioma:
spa
OAI Identifier:
oai:noesis.uis.edu.co:20.500.14071/7069
Acceso en línea:
https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/314
https://noesis.uis.edu.co/handle/20.500.14071/7069
Palabra clave:
General Relativity
exact solution
Cosmology
Relatividad General
soluciones exactas
Cosmología
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openAccess
License
Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
id UISANTADR2_d2464c16f753abac66858950dd9c3214
oai_identifier_str oai:noesis.uis.edu.co:20.500.14071/7069
network_acronym_str UISANTADR2
network_name_str Repositorio UIS
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spelling Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)http://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)2007-09-272022-03-14T20:23:03Z2022-03-14T20:23:03Zhttps://revistas.uis.edu.co/index.php/revistaintegracion/article/view/314https://noesis.uis.edu.co/handle/20.500.14071/7069A family of exact simple solutions of Einstein field equations for homogeneous stiff cosmologies is presented. The method to obtain the solution is based on the introduction of auxiliary functions in order to cast the Einstein equations in such a way that can be explicitly integrated. The obtained solution is expressed in terms of simple functions of the used coordinates. The geometrical and kinematical properties of the solution are analyzed and the parameters are restricted in order to have a physically acceptable behavior. The solution is of the Petrov type I and presents a big-bang singularity. Now, for a particular value of one of the parameters, the solution is a vacuum solution of the Bianchi I type that reduces to the Kasner solution.   Se presenta una familia de soluciones exactas sencillas de las ecua­ciones de Einstein homogéneas sobre el plano para las cosmologías rígidas. El método para obtener la solución se basa en la introducción de funciones auxiliares, a fin de emitir las ecuaciones de Einstein de tal manera que puedan ser integradas explícitamente. La solución obtenida se expresa en términos de funciones simples de las coordenadas utilizadas. Se analizan las propiedades geométricas y cinemáticas de la solución; los parámetros están restringidas a fin de tener un comportamiento aceptable físicamente. Las soluciones son del tipo Petrov I, y presentan una singularidad de big-bang. Ahora bien, para un cierto valor de uno de los parámetros la solución es una solución de vacío de tipo Bianchi I, que se reduce a la solución de Kasner.     application/pdfspaUniversidad Industrial de Santanderhttps://revistas.uis.edu.co/index.php/revistaintegracion/article/view/314/525Revista integración, temas de matemáticas; Vol. 25 Núm. 2 (2007): Revista Integración, temas de matemáticas; 145-150REVISTA INTEGRACIÓN; v. 25 n. 2 (2007): Revista Integración, temas de matemáticas; 145-1502145-84720120-419XGeneral Relativityexact solutionCosmologyRelatividad Generalsoluciones exactasCosmologíaAn Exact Homogeneous Stiff Cosmology that Reduces to the Kasner SolutionAn Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solutioninfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Lora, Fabio D.González, Guillermo A.20.500.14071/7069oai:noesis.uis.edu.co:20.500.14071/70692022-03-16 12:39:54.395metadata.onlyhttps://noesis.uis.edu.coDSpace at UISnoesis@uis.edu.co
dc.title.en-US.fl_str_mv An Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solution
dc.title.es-ES.fl_str_mv An Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solution
title An Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solution
spellingShingle An Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solution
General Relativity
exact solution
Cosmology
Relatividad General
soluciones exactas
Cosmología
title_short An Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solution
title_full An Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solution
title_fullStr An Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solution
title_full_unstemmed An Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solution
title_sort An Exact Homogeneous Stiff Cosmology that Reduces to the Kasner Solution
dc.subject.en-US.fl_str_mv General Relativity
exact solution
Cosmology
topic General Relativity
exact solution
Cosmology
Relatividad General
soluciones exactas
Cosmología
dc.subject.es-ES.fl_str_mv Relatividad General
soluciones exactas
Cosmología
description A family of exact simple solutions of Einstein field equations for homogeneous stiff cosmologies is presented. The method to obtain the solution is based on the introduction of auxiliary functions in order to cast the Einstein equations in such a way that can be explicitly integrated. The obtained solution is expressed in terms of simple functions of the used coordinates. The geometrical and kinematical properties of the solution are analyzed and the parameters are restricted in order to have a physically acceptable behavior. The solution is of the Petrov type I and presents a big-bang singularity. Now, for a particular value of one of the parameters, the solution is a vacuum solution of the Bianchi I type that reduces to the Kasner solution.   
publishDate 2007
dc.date.accessioned.none.fl_str_mv 2022-03-14T20:23:03Z
dc.date.available.none.fl_str_mv 2022-03-14T20:23:03Z
dc.date.none.fl_str_mv 2007-09-27
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.identifier.none.fl_str_mv https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/314
dc.identifier.uri.none.fl_str_mv https://noesis.uis.edu.co/handle/20.500.14071/7069
url https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/314
https://noesis.uis.edu.co/handle/20.500.14071/7069
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/314/525
dc.rights.license.none.fl_str_mv Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
dc.rights.coar.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.accessrights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.creativecommons.none.fl_str_mv Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
rights_invalid_str_mv Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.es-ES.fl_str_mv Universidad Industrial de Santander
dc.source.es-ES.fl_str_mv Revista integración, temas de matemáticas; Vol. 25 Núm. 2 (2007): Revista Integración, temas de matemáticas; 145-150
dc.source.pt-BR.fl_str_mv REVISTA INTEGRACIÓN; v. 25 n. 2 (2007): Revista Integración, temas de matemáticas; 145-150
dc.source.none.fl_str_mv 2145-8472
0120-419X
institution Universidad Industrial de Santander
repository.name.fl_str_mv DSpace at UIS
repository.mail.fl_str_mv noesis@uis.edu.co
_version_ 1814095182100955136

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