Spherically symmetric Einstein-scalar-field equations with potential for wave-like decaying null infinity

被引：0

作者：

Chuxiao Liu ^{[1
]}

Xiao Zhang ^{[2
,3
,4
]}

机构：

[1] School of Mathematics and Information Science,Guangxi University

[2] Academy of Mathematics and Systems Science,Chinese Academy of Sciences

[3] School of Mathematical Sciences,University of Chinese Academy of Sciences

[4] Guangxi Center for Mathematical Research,Guangxi University

来源：

Science China(Mathematics) | 2025年 / 68卷 / 07期

关键词：

D O I：

暂无

中图分类号：

O411.1 [数学物理方法];

学科分类号：

0701 ; 070104 ;

摘要：

We prove the global existence and uniqueness of classical solutions with small initial data and with wake-like decaying null infinity for the spherically symmetric Einstein-scalar-field equations with potential, where the scalar potential V satisfies(1.13) and(1.14).

引用

页码：1627 / 1642

页数：16

共 5 条

[1] The global stability of Minkowski space-time in harmonic gauge [J].

Lindblad, Hans ;

Rodnianski, Igor .

ANNALS OF MATHEMATICS, 2010, 171 (03) :1401-1477

[2] THE PROBLEM OF A SELF-GRAVITATING SCALAR FIELD [J].

CHRISTODOULOU, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 105 (03) :337-361

[3]

Global existence of generalized solutions of the spherically symmetric Einstein-scalar equations in the large.[J].Demetrios Christodoulou.Communications In Mathematical Physics.1986, 4

[4]

The structure and uniqueness of generalized solutions of the spherically symmetric Einstein-scalar equations.[J].Demetrios Christodoulou.Communications in Mathematical Physics.1987, 4

[5] Global existence of solutions to the coupled Einstein and Maxwell-Higgs system in the spherical symmetry [J].

Chae, D .

ANNALES HENRI POINCARE, 2003, 4 (01) :35-62

← 1 →