Time-periodic solutions of the Einstein’s field equations I: general framework

被引：0
|
作者：
DeXing Kong
KeFeng Liu
机构：
[1] Zhejiang University,Department of Mathematics
[2] University of California at Los Angeles,Department of Mathematics
来源：
Science China Mathematics | 2010年 / 53卷
关键词：
Einstein’s field equations; time-periodic solution; Riemann curvature tensor; singularity; event horizon; 83C05; 83C15; 83C57;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we develop a new algorithm to find the exact solutions of the Einstein’s field equations. Time-periodic solutions are constructed by using the new algorithm. The singularities of the time-periodic solutions are investigated and some new physical phenomena, such as degenerate event horizon and time-periodic event horizon, are found. The applications of these solutions in modern cosmology and general relativity are expected.
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页码：1213 / 1230
页数：17
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