Dynamical System Analysis of a Five-Dimensional Cosmological Model

A five-dimensional cosmological model including a single perfect fluid is studied in the framework of dynamical system analysis. All the critical points of the system with their stability properties are listed and some representative phase diagrams are explicitly shown. It is found that the stabiliz...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2020-02
Hauptverfasser: Arapoğlu, A Savaş, Canay, Ezgi, Yükselci, A Emrah
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Arapoğlu, A Savaş
Canay, Ezgi
Yükselci, A Emrah
description A five-dimensional cosmological model including a single perfect fluid is studied in the framework of dynamical system analysis. All the critical points of the system with their stability properties are listed and some representative phase diagrams are explicitly shown. It is found that the stabilization of the extra dimension is possible and the observed flatness of the three-dimensional space is provided for certain ranges of the equation of state parameter of the fluid during the evolution of the universe. The model suggested here can be considered as a simplified model for examining the possible effects of the extra dimensions in the early universe.
doi_str_mv 10.48550/arxiv.1801.08402
format Article
fullrecord <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1801_08402</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2071273542</sourcerecordid><originalsourceid>FETCH-LOGICAL-a522-b6a8ab39a4497fa75a8e7b195ccb389edee2d6593e79246f93e54e95c96e46d73</originalsourceid><addsrcrecordid>eNotj01Lw0AQhhdBsNT-AE8GPCduZnezu8faWhUqHuw9TJKJbEmyNdsW8--Nqad54f1gHsbuUp5IoxR_xP7HnZPU8DThRnK4YjMQIo2NBLhhixD2nHPINCglZuxpPXTYuhKb6HMIR2qjZYfNEFyIfB1htHFniteupS44PzrRyofWN_5rqrz7ippbdl1jE2jxf-dst3nerV7j7cfL22q5jVEBxEWGBgthUUqra9QKDekitaosC2EsVURQZcoK0hZkVo9CSRptm5HMKi3m7P4yOwHmh9612A_5H2g-gY6Jh0vi0PvvE4Vjvvenfnw65MB1ClooCeIXmjJVYQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2071273542</pqid></control><display><type>article</type><title>Dynamical System Analysis of a Five-Dimensional Cosmological Model</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Arapoğlu, A Savaş ; Canay, Ezgi ; Yükselci, A Emrah</creator><creatorcontrib>Arapoğlu, A Savaş ; Canay, Ezgi ; Yükselci, A Emrah</creatorcontrib><description>A five-dimensional cosmological model including a single perfect fluid is studied in the framework of dynamical system analysis. All the critical points of the system with their stability properties are listed and some representative phase diagrams are explicitly shown. It is found that the stabilization of the extra dimension is possible and the observed flatness of the three-dimensional space is provided for certain ranges of the equation of state parameter of the fluid during the evolution of the universe. The model suggested here can be considered as a simplified model for examining the possible effects of the extra dimensions in the early universe.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1801.08402</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Astronomical models ; Cosmology ; Critical point ; Dynamical systems ; Equations of state ; Phase diagrams ; Physics - Cosmology and Nongalactic Astrophysics ; Physics - General Relativity and Quantum Cosmology ; Stability analysis ; Systems analysis ; Universe</subject><ispartof>arXiv.org, 2020-02</ispartof><rights>2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1801.08402$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1007/s10509-018-3436-5$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Arapoğlu, A Savaş</creatorcontrib><creatorcontrib>Canay, Ezgi</creatorcontrib><creatorcontrib>Yükselci, A Emrah</creatorcontrib><title>Dynamical System Analysis of a Five-Dimensional Cosmological Model</title><title>arXiv.org</title><description>A five-dimensional cosmological model including a single perfect fluid is studied in the framework of dynamical system analysis. All the critical points of the system with their stability properties are listed and some representative phase diagrams are explicitly shown. It is found that the stabilization of the extra dimension is possible and the observed flatness of the three-dimensional space is provided for certain ranges of the equation of state parameter of the fluid during the evolution of the universe. The model suggested here can be considered as a simplified model for examining the possible effects of the extra dimensions in the early universe.</description><subject>Astronomical models</subject><subject>Cosmology</subject><subject>Critical point</subject><subject>Dynamical systems</subject><subject>Equations of state</subject><subject>Phase diagrams</subject><subject>Physics - Cosmology and Nongalactic Astrophysics</subject><subject>Physics - General Relativity and Quantum Cosmology</subject><subject>Stability analysis</subject><subject>Systems analysis</subject><subject>Universe</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj01Lw0AQhhdBsNT-AE8GPCduZnezu8faWhUqHuw9TJKJbEmyNdsW8--Nqad54f1gHsbuUp5IoxR_xP7HnZPU8DThRnK4YjMQIo2NBLhhixD2nHPINCglZuxpPXTYuhKb6HMIR2qjZYfNEFyIfB1htHFniteupS44PzrRyofWN_5rqrz7ippbdl1jE2jxf-dst3nerV7j7cfL22q5jVEBxEWGBgthUUqra9QKDekitaosC2EsVURQZcoK0hZkVo9CSRptm5HMKi3m7P4yOwHmh9612A_5H2g-gY6Jh0vi0PvvE4Vjvvenfnw65MB1ClooCeIXmjJVYQ</recordid><startdate>20200214</startdate><enddate>20200214</enddate><creator>Arapoğlu, A Savaş</creator><creator>Canay, Ezgi</creator><creator>Yükselci, A Emrah</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20200214</creationdate><title>Dynamical System Analysis of a Five-Dimensional Cosmological Model</title><author>Arapoğlu, A Savaş ; Canay, Ezgi ; Yükselci, A Emrah</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a522-b6a8ab39a4497fa75a8e7b195ccb389edee2d6593e79246f93e54e95c96e46d73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Astronomical models</topic><topic>Cosmology</topic><topic>Critical point</topic><topic>Dynamical systems</topic><topic>Equations of state</topic><topic>Phase diagrams</topic><topic>Physics - Cosmology and Nongalactic Astrophysics</topic><topic>Physics - General Relativity and Quantum Cosmology</topic><topic>Stability analysis</topic><topic>Systems analysis</topic><topic>Universe</topic><toplevel>online_resources</toplevel><creatorcontrib>Arapoğlu, A Savaş</creatorcontrib><creatorcontrib>Canay, Ezgi</creatorcontrib><creatorcontrib>Yükselci, A Emrah</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Arapoğlu, A Savaş</au><au>Canay, Ezgi</au><au>Yükselci, A Emrah</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamical System Analysis of a Five-Dimensional Cosmological Model</atitle><jtitle>arXiv.org</jtitle><date>2020-02-14</date><risdate>2020</risdate><eissn>2331-8422</eissn><abstract>A five-dimensional cosmological model including a single perfect fluid is studied in the framework of dynamical system analysis. All the critical points of the system with their stability properties are listed and some representative phase diagrams are explicitly shown. It is found that the stabilization of the extra dimension is possible and the observed flatness of the three-dimensional space is provided for certain ranges of the equation of state parameter of the fluid during the evolution of the universe. The model suggested here can be considered as a simplified model for examining the possible effects of the extra dimensions in the early universe.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1801.08402</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2020-02
issn 2331-8422
language eng
recordid cdi_arxiv_primary_1801_08402
source arXiv.org; Free E- Journals
subjects Astronomical models
Cosmology
Critical point
Dynamical systems
Equations of state
Phase diagrams
Physics - Cosmology and Nongalactic Astrophysics
Physics - General Relativity and Quantum Cosmology
Stability analysis
Systems analysis
Universe
title Dynamical System Analysis of a Five-Dimensional Cosmological Model
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-29T00%3A00%3A54IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Dynamical%20System%20Analysis%20of%20a%20Five-Dimensional%20Cosmological%20Model&rft.jtitle=arXiv.org&rft.au=Arapo%C4%9Flu,%20A%20Sava%C5%9F&rft.date=2020-02-14&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1801.08402&rft_dat=%3Cproquest_arxiv%3E2071273542%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2071273542&rft_id=info:pmid/&rfr_iscdi=true