{"title":"自我创造理论中Frw型Kaluza-Klein Mhrde宇宙学模型的动力学","authors":"T. Vinutha, K. S. Sri Kavya","doi":"10.1080/1726037X.2020.1774158","DOIUrl":null,"url":null,"abstract":"ABSTRACT In this work, we have studied Friedmann–Robertson–Walker type Kaluza–Klein universe filled with pressureless matter and modified holographic Ricci dark energy in the frame work of Barber’s self-creation theory. While solving field equations we have considered hybrid expansion law of average scale factor. Also we have studied differences between open, flat and closed models. We have calculated some physical properties such as deceleration parameter(q), EoS parameter(ωde ), spatial volume(V ), expansion scalar(θ). The physical and geometrical aspects of the statefinder parameters(r, s) and ωde − ω ′ de plane are also discussed. In ω de− ω ′ de plane discussion we have observed that the flat model lies in freezing region and the closed model lies in thawing region. Also we have observed that for flat model ωde crosses the phantom divide line( i.e. ωde = -1) and shows quintom like behavior. Among the three models the flat model is in good agreement with recent observational data.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"111 - 129"},"PeriodicalIF":0.4000,"publicationDate":"2020-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1774158","citationCount":"1","resultStr":"{\"title\":\"Dynamics Of Frw Type Kaluza-Klein Mhrde Cosmological Model In Self-Creation Theory\",\"authors\":\"T. Vinutha, K. S. Sri Kavya\",\"doi\":\"10.1080/1726037X.2020.1774158\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT In this work, we have studied Friedmann–Robertson–Walker type Kaluza–Klein universe filled with pressureless matter and modified holographic Ricci dark energy in the frame work of Barber’s self-creation theory. While solving field equations we have considered hybrid expansion law of average scale factor. Also we have studied differences between open, flat and closed models. We have calculated some physical properties such as deceleration parameter(q), EoS parameter(ωde ), spatial volume(V ), expansion scalar(θ). The physical and geometrical aspects of the statefinder parameters(r, s) and ωde − ω ′ de plane are also discussed. In ω de− ω ′ de plane discussion we have observed that the flat model lies in freezing region and the closed model lies in thawing region. Also we have observed that for flat model ωde crosses the phantom divide line( i.e. ωde = -1) and shows quintom like behavior. Among the three models the flat model is in good agreement with recent observational data.\",\"PeriodicalId\":42788,\"journal\":{\"name\":\"Journal of Dynamical Systems and Geometric Theories\",\"volume\":\"18 1\",\"pages\":\"111 - 129\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/1726037X.2020.1774158\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Dynamical Systems and Geometric Theories\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/1726037X.2020.1774158\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Dynamical Systems and Geometric Theories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1726037X.2020.1774158","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Dynamics Of Frw Type Kaluza-Klein Mhrde Cosmological Model In Self-Creation Theory
ABSTRACT In this work, we have studied Friedmann–Robertson–Walker type Kaluza–Klein universe filled with pressureless matter and modified holographic Ricci dark energy in the frame work of Barber’s self-creation theory. While solving field equations we have considered hybrid expansion law of average scale factor. Also we have studied differences between open, flat and closed models. We have calculated some physical properties such as deceleration parameter(q), EoS parameter(ωde ), spatial volume(V ), expansion scalar(θ). The physical and geometrical aspects of the statefinder parameters(r, s) and ωde − ω ′ de plane are also discussed. In ω de− ω ′ de plane discussion we have observed that the flat model lies in freezing region and the closed model lies in thawing region. Also we have observed that for flat model ωde crosses the phantom divide line( i.e. ωde = -1) and shows quintom like behavior. Among the three models the flat model is in good agreement with recent observational data.