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爱因斯坦场方程的一类新解

A Class of New Solutions to the Einstein's Field Equations
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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. 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.
作者 沈明 孙庆有
出处 《数学物理学报(A辑)》 CSCD 北大核心 2010年第3期584-592,共9页 Acta Mathematica Scientia
关键词 爱因斯坦场方程 Riemann曲率张量 奇点 时间周期 Weyl标量 Einstein's field equations Riemann curvature tensor Singularity Time-periodic Weyl scalar
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