{"title":"Prompt Cusp Formation and Angular Momentum","authors":"Antonino Del Popolo, Saeed Fakhry","doi":"10.1134/S1063772924700033","DOIUrl":null,"url":null,"abstract":"<p>In this study, we expand on White’s model proposed in [1], which explores the post-collapse evolution of density peaks while incorporating the influence of angular momentum. Within a time scale smaller than the peak collapse, denoted as <span>\\({{t}_{0}}\\)</span>, the inner regions of the peak reach an equilibrium state, forming a cuspy profile, consistent with White’s findings. However, the power-law density profile is slightly flatter, specifically <span>\\(\\rho \\propto {{r}^{{ - 1.52}}}\\)</span>, due to the incorporation of the specific angular momentum <span>\\(J\\)</span> obtained from theoretical models of its evolution in CDM universes, represented as <span>\\(J \\propto {{M}^{{2/3}}}\\)</span>. The outcome above demonstrates the impact of angular momentum on the slope of the density profile, allowing us to reproduce a slightly flatter profile similar to the one observed in high-resolution numerical simulations, where <span>\\(\\rho \\propto {{r}^{\\alpha }}\\)</span> with <span>\\(\\alpha \\simeq - 1.5\\)</span>. Notably, our model, like the simulations, does not account for adiabatic contraction. Therefore, conducting more comprehensive simulations may yield different values for the slope of the density profile, presenting an opportunity to enhance and refine our model.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 1","pages":"19 - 26"},"PeriodicalIF":1.1000,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astronomy Reports","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063772924700033","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
In this study, we expand on White’s model proposed in [1], which explores the post-collapse evolution of density peaks while incorporating the influence of angular momentum. Within a time scale smaller than the peak collapse, denoted as \({{t}_{0}}\), the inner regions of the peak reach an equilibrium state, forming a cuspy profile, consistent with White’s findings. However, the power-law density profile is slightly flatter, specifically \(\rho \propto {{r}^{{ - 1.52}}}\), due to the incorporation of the specific angular momentum \(J\) obtained from theoretical models of its evolution in CDM universes, represented as \(J \propto {{M}^{{2/3}}}\). The outcome above demonstrates the impact of angular momentum on the slope of the density profile, allowing us to reproduce a slightly flatter profile similar to the one observed in high-resolution numerical simulations, where \(\rho \propto {{r}^{\alpha }}\) with \(\alpha \simeq - 1.5\). Notably, our model, like the simulations, does not account for adiabatic contraction. Therefore, conducting more comprehensive simulations may yield different values for the slope of the density profile, presenting an opportunity to enhance and refine our model.
期刊介绍:
Astronomy Reports is an international peer reviewed journal that publishes original papers on astronomical topics, including theoretical and observational astrophysics, physics of the Sun, planetary astrophysics, radio astronomy, stellar astronomy, celestial mechanics, and astronomy methods and instrumentation.