{"title":"Dynamical Synchronization, the Horizon Problem, and Initial Conditions for Inflation","authors":"S. Cotsakis","doi":"10.31526/lhep.2023.322","DOIUrl":null,"url":null,"abstract":"We consider the evolution of homogeneous cosmologies towards the future in a dynamical systems formulation. Using a variational equation approach, we show that there is a short period in which transient solutions between the end of a Mixmaster era and a subsequent Friedmannian state exist. Implications about the generic inhomogeneous evolution towards the future, the recollapse problem, the horizon problem, and the initial conditions required for inflation are briefly discussed.","PeriodicalId":36085,"journal":{"name":"Letters in High Energy Physics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in High Energy Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31526/lhep.2023.322","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Physics and Astronomy","Score":null,"Total":0}
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Abstract
We consider the evolution of homogeneous cosmologies towards the future in a dynamical systems formulation. Using a variational equation approach, we show that there is a short period in which transient solutions between the end of a Mixmaster era and a subsequent Friedmannian state exist. Implications about the generic inhomogeneous evolution towards the future, the recollapse problem, the horizon problem, and the initial conditions required for inflation are briefly discussed.
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