Remark on the equations of axially symmetric gravitational fields

被引:1
|
作者
Cimatti, Giovanni [1 ]
机构
[1] Univ Pisa, Dept Math, Largo Bruno Pontecorvo 5, Pisa, Italy
来源
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2017年 / 138卷
关键词
Axially symmetric gravitational fields; existence and uniqueness of solutions; Weyl-Lewis-Papapetrou coordinates; CURZON SINGULARITY;
D O I
10.4171/RSMUP/138-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A local theorem of existence and uniqueness of solutions of the equations of stationary axially symmetric vacuum gravitational fields in the general theory of relativity close to the flat space solution is proved using the implicit function theorem in Banach spaces.
引用
收藏
页码:91 / 100
页数:10
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