{"title":"David J. Kaup and Boson Stars","authors":"Stoytcho Yazadjiev","doi":"10.1111/sapm.70041","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>David Kaup's 1968 paper, “Klein–Gordon Geon”, introduced one of the first detailed studies of self-gravitating configurations of a complex scalar field, known as boson stars. These objects, formed by a massive complex scalar field interacting with gravity, provide a compelling theoretical model for understanding various phenomena in astrophysics and cosmology, particularly in the context of dark matter. Kaup's pioneering work, which considered the Einstein–Klein–Gordon equations, remains foundational in the study of nontopological solitons and self-gravitating systems in general.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 3","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studies in Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/sapm.70041","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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Abstract
David Kaup's 1968 paper, “Klein–Gordon Geon”, introduced one of the first detailed studies of self-gravitating configurations of a complex scalar field, known as boson stars. These objects, formed by a massive complex scalar field interacting with gravity, provide a compelling theoretical model for understanding various phenomena in astrophysics and cosmology, particularly in the context of dark matter. Kaup's pioneering work, which considered the Einstein–Klein–Gordon equations, remains foundational in the study of nontopological solitons and self-gravitating systems in general.
期刊介绍：
Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.
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