The Solutions of the Coupled Einstein-Maxwell Equations and Dilaton Equations

被引：0
|
作者：
Rui-feng Zhang
Ya Gu
机构：
[1] Henan University,Institute of Contemporary Mathematics
[2] Henan University,School of Mathematics and Statistics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2018年 / 34卷
关键词：
nonlinear elliptic equations; the variational method; the asymptotic estimates; 35J20; 83C05;
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学科分类号：
摘要：
In this paper, we consider extremely charged static perfect fluid distributions with a dilaton field in the framework of general relativity. By using calculus of variations, we establish the existence theorem for the solutions of this important gravitational system. We show that there is a continuous family of smooth solutions realizing asymptotically flat space metrics.
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页码：485 / 492
页数：7
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