{"title":"The Buchdahl bound denotes the geometrical Virial theorem","authors":"Naresh Dadhich , Rituparno Goswami , Chevarra Hansraj","doi":"10.1016/j.aop.2025.169986","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper we provide a concrete model-independent geometrical framework for the Buchdahl limit in general relativity and show that the Buchdahl limit is equivalent to a relativistic version of the Newtonian Virial theorem. Moreover we explicitly provide a mechanism by which a star can continue to stay in Virial equilibrium via continuous radiation.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"477 ","pages":"Article 169986"},"PeriodicalIF":3.0000,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491625000673","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we provide a concrete model-independent geometrical framework for the Buchdahl limit in general relativity and show that the Buchdahl limit is equivalent to a relativistic version of the Newtonian Virial theorem. Moreover we explicitly provide a mechanism by which a star can continue to stay in Virial equilibrium via continuous radiation.
期刊介绍:
Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance.
The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.