数学物理学报 ›› 2010, Vol. 30 ›› Issue (3): 584-592.

• 论文 • 上一篇    下一篇

爱因斯坦场方程的一类新解

沈明, 孙庆有**   

  1. 浙江大学数学科学研究中心 杭州 |310027
  • 收稿日期:2008-12-08 修回日期:2009-11-27 出版日期:2010-05-25 发布日期:2010-05-25

A Class of New Solutions to the Einstein's Field Equations

 SHEN Ming, SUN Qing-You   

  1. Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
  • Received:2008-12-08 Revised:2009-11-27 Online:2010-05-25 Published:2010-05-25

摘要:

作者构造了真空爱因斯坦场方程的一类新解, 并给出了两个具体的例子,其中一个例子是时间周期解,而时间周期解和循环宇宙有着密切的关系.
作者证明了这一类新解不是 Minkowski 的, 并且与其它已有的解有本质上的不同. 作者期望这种解可以在现代宇宙学和广义相对论中有所应用.

关键词: 爱因斯坦场方程, Riemann 曲率张量, 奇点, 时间周期, Weyl 标量

Abstract:

In this paper the authors construct a new class of solutions to the vacuum Einstein's field equations, and give two interesting examples
including a time-periodic solution which is related to the loop cosmology. The authors show that this class of soultions are not Minkowski, and essentially differnt from other space-times. One can expect that these solutions can be applied to   modern cosmology and general relativity.

Key words: Einstein’s field equations,  Riemann curvature tensor, Singularity, Time-periodic, Weyl scalar

中图分类号: 

  • 83C