Einstein-Vlasov-Maxwell系统在最大各向同性坐标系中的约束方程

IF 0.3 Q4 MATHEMATICS Acta Mathematica Vietnamica Pub Date : 2023-07-19 DOI:10.1007/s40306-023-00507-3

Timothée Raoul Moutngui See, Pierre Noundjeu

{"title":"Einstein-Vlasov-Maxwell系统在最大各向同性坐标系中的约束方程","authors":"Timothée Raoul Moutngui See, Pierre Noundjeu","doi":"10.1007/s40306-023-00507-3","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we prove the existence of initial data satisfying the constraint equations corresponding to the 1+3 formulation of asymptotically flat spherically symmetric Einstein-Vlasov-Maxwell system, when the charge of the particles is either low or large, the initial distribution function is compactly supported, the shift vector is non-zero and the isotropic metric ansatz is not diagonal. This result extends the work (Rein and Rendall, Commun. Math. Phys. <b>150</b>(3), 561–583 1992) concerning the existence of solutions to the constraint equations for chargeless particles.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40306-023-00507-3.pdf","citationCount":"0","resultStr":"{\"title\":\"The Constraint Equations of the Einstein-Vlasov-Maxwell System in the Maximal-isotropic Coordinates\",\"authors\":\"Timothée Raoul Moutngui See, Pierre Noundjeu\",\"doi\":\"10.1007/s40306-023-00507-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper we prove the existence of initial data satisfying the constraint equations corresponding to the 1+3 formulation of asymptotically flat spherically symmetric Einstein-Vlasov-Maxwell system, when the charge of the particles is either low or large, the initial distribution function is compactly supported, the shift vector is non-zero and the isotropic metric ansatz is not diagonal. This result extends the work (Rein and Rendall, Commun. Math. Phys. <b>150</b>(3), 561–583 1992) concerning the existence of solutions to the constraint equations for chargeless particles.</p></div>\",\"PeriodicalId\":45527,\"journal\":{\"name\":\"Acta Mathematica Vietnamica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-07-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s40306-023-00507-3.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Vietnamica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40306-023-00507-3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Vietnamica","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40306-023-00507-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文证明了渐近平坦球对称Einstein-Vlasov-Maxwell系统在粒子电荷为低或大、初始分布函数为紧支撑、位移矢量为非零、各向同性度量变换为非对角时，满足1+3公式约束方程的初始数据的存在性。这一结果扩展了关于无电荷粒子约束方程解的存在性的工作（Rein和Rendall，Commun.Math.Phys.150（3），561–583 1992）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

The Constraint Equations of the Einstein-Vlasov-Maxwell System in the Maximal-isotropic Coordinates

In this paper we prove the existence of initial data satisfying the constraint equations corresponding to the 1+3 formulation of asymptotically flat spherically symmetric Einstein-Vlasov-Maxwell system, when the charge of the particles is either low or large, the initial distribution function is compactly supported, the shift vector is non-zero and the isotropic metric ansatz is not diagonal. This result extends the work (Rein and Rendall, Commun. Math. Phys. 150(3), 561–583 1992) concerning the existence of solutions to the constraint equations for chargeless particles.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.