{"title":"Dark Energy Cosmological Models in Lyra Geometry for Bianchi-I Space Time","authors":"Binaya Kumar Bishi, Pratik Vijay Lepse, Aroonkumar Beesham","doi":"10.1007/s40010-023-00838-8","DOIUrl":null,"url":null,"abstract":"<div><p>We construct cosmological models for dark energy based on Lyra’s geometry for the Bianchi-I space-time to understand the evolution of the universe. The specific choice of the deceleration parameter <span>\\(q=-\\frac{\\alpha _1}{t^2}+\\alpha _2-1\\)</span> is used to determine the exact solutions of the field equations in Lyra geometry. The parameter <span>\\(\\alpha _1\\)</span> has a dimension equal to the square of time. Further, we have discussed two cosmological models depending on the parameter <span>\\(\\alpha _2\\)</span>. Several physical parameters are obtained and the results in both the models are analyzed and presented graphically for the analysis of the results.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"93 4","pages":"645 - 659"},"PeriodicalIF":0.8000,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40010-023-00838-8.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-023-00838-8","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
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Abstract
We construct cosmological models for dark energy based on Lyra’s geometry for the Bianchi-I space-time to understand the evolution of the universe. The specific choice of the deceleration parameter \(q=-\frac{\alpha _1}{t^2}+\alpha _2-1\) is used to determine the exact solutions of the field equations in Lyra geometry. The parameter \(\alpha _1\) has a dimension equal to the square of time. Further, we have discussed two cosmological models depending on the parameter \(\alpha _2\). Several physical parameters are obtained and the results in both the models are analyzed and presented graphically for the analysis of the results.
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