{"title":"Studies of the Inhomogeneous Cosmology in Higher Dimensional Space-Time with a Cosmological Constant","authors":"D. Panigrahi, S. Chatterjee","doi":"10.1134/S020228932470049X","DOIUrl":null,"url":null,"abstract":"<p>We study an inhomogeneous cosmology in Kaluza–Klein space-time with a positive cosmological constant in a dust dominated era (<span>\\(p=0\\)</span>). Depending on an integration constant, we have derived two types of solutions. The dimensional reduction of the extra-dimensional scale factor is possible due to an inhomogeneity depending on the curvature of the metric for the positive cosmological constant in all solutions. The high value of entropy in the present observable universe and the possible matter leakage in 4D world due to reduction of the extra dimension are also discussed. Our solutions show an early decelerating and late accelerating nature of the universe. The findings are verified by the well-known Raychaudhuri equation.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"31 1","pages":"53 - 63"},"PeriodicalIF":1.0000,"publicationDate":"2025-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gravitation and Cosmology","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S020228932470049X","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study an inhomogeneous cosmology in Kaluza–Klein space-time with a positive cosmological constant in a dust dominated era (\(p=0\)). Depending on an integration constant, we have derived two types of solutions. The dimensional reduction of the extra-dimensional scale factor is possible due to an inhomogeneity depending on the curvature of the metric for the positive cosmological constant in all solutions. The high value of entropy in the present observable universe and the possible matter leakage in 4D world due to reduction of the extra dimension are also discussed. Our solutions show an early decelerating and late accelerating nature of the universe. The findings are verified by the well-known Raychaudhuri equation.
期刊介绍：
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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