Dynamics of Robertson-Walker spacetimes with diffusion

Bibliographic Details
Main Author: Alho, Artur
Publication Date: 2015
Other Authors: Calogero, Simone Carmelo, Ramos, M. P. Machado, Soares, A. J.
Format: Article
Language: eng
Source: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Download full: http://hdl.handle.net/1822/33733
Summary: We study the dynamics of spatially homogeneous and isotropic spacetimes containing a fluid undergoing microscopic velocity diffusion in a cosmological scalar field. After deriving a few exact solutions of the equations, we continue by analyzing the qualitative behavior of general solutions. To this purpose we recast the equations in the form of a two dimensional dynamical system and perform a global analysis of the flow. Among the admissible behaviors, we find solutions that are asymptotically de-Sitter both in the past and future time directions and which undergo accelerated expansion at all times.
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spelling Dynamics of Robertson-Walker spacetimes with diffusionCosmologyDiffusionScalar fieldDynamical systemsCiências Naturais::MatemáticasScience & TechnologyWe study the dynamics of spatially homogeneous and isotropic spacetimes containing a fluid undergoing microscopic velocity diffusion in a cosmological scalar field. After deriving a few exact solutions of the equations, we continue by analyzing the qualitative behavior of general solutions. To this purpose we recast the equations in the form of a two dimensional dynamical system and perform a global analysis of the flow. Among the admissible behaviors, we find solutions that are asymptotically de-Sitter both in the past and future time directions and which undergo accelerated expansion at all times.Fundação para a Ciência e a Tecnologia (FCT)ElsevierUniversidade do MinhoAlho, ArturCalogero, Simone CarmeloRamos, M. P. MachadoSoares, A. J.2015-032015-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/33733eng0003-491610.1016/j.aop.2015.01.010The on-line publication is available at www.sciencedirect.com/science/article/pii/S0003491615000135#info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:32:54Zoai:repositorium.sdum.uminho.pt:1822/33733Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:28:19.608030Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Dynamics of Robertson-Walker spacetimes with diffusion
title Dynamics of Robertson-Walker spacetimes with diffusion
spellingShingle Dynamics of Robertson-Walker spacetimes with diffusion
Alho, Artur
Cosmology
Diffusion
Scalar field
Dynamical systems
Ciências Naturais::Matemáticas
Science & Technology
title_short Dynamics of Robertson-Walker spacetimes with diffusion
title_full Dynamics of Robertson-Walker spacetimes with diffusion
title_fullStr Dynamics of Robertson-Walker spacetimes with diffusion
title_full_unstemmed Dynamics of Robertson-Walker spacetimes with diffusion
title_sort Dynamics of Robertson-Walker spacetimes with diffusion
author Alho, Artur
author_facet Alho, Artur
Calogero, Simone Carmelo
Ramos, M. P. Machado
Soares, A. J.
author_role author
author2 Calogero, Simone Carmelo
Ramos, M. P. Machado
Soares, A. J.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Alho, Artur
Calogero, Simone Carmelo
Ramos, M. P. Machado
Soares, A. J.
dc.subject.por.fl_str_mv Cosmology
Diffusion
Scalar field
Dynamical systems
Ciências Naturais::Matemáticas
Science & Technology
topic Cosmology
Diffusion
Scalar field
Dynamical systems
Ciências Naturais::Matemáticas
Science & Technology
description We study the dynamics of spatially homogeneous and isotropic spacetimes containing a fluid undergoing microscopic velocity diffusion in a cosmological scalar field. After deriving a few exact solutions of the equations, we continue by analyzing the qualitative behavior of general solutions. To this purpose we recast the equations in the form of a two dimensional dynamical system and perform a global analysis of the flow. Among the admissible behaviors, we find solutions that are asymptotically de-Sitter both in the past and future time directions and which undergo accelerated expansion at all times.
publishDate 2015
dc.date.none.fl_str_mv 2015-03
2015-03-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/33733
url http://hdl.handle.net/1822/33733
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0003-4916
10.1016/j.aop.2015.01.010
The on-line publication is available at www.sciencedirect.com/science/article/pii/S0003491615000135#
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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