New Homogeneous Solutions of Einstein's Field Equations with Incoherent Matter Obtained by a Spinor Technique
New Homogeneous Solutions of Einstein's Field Equations with Incoherent Matter Obtained by a Spinor Technique
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旋量技术获得的具有非相干物质的爱因斯坦场方程的新齐次解
DOI：
10.1063/1.1704311
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发表时间：
1965
影响因子：
1.3
通讯作者：
I. Ozsvath
中科院分区：
文献类型：
--
作者：
I. Ozsvath
爱因斯坦的场方程与非相干物质的情况下求解均匀时空，即，对于允许四参数简单传递运动组的度量。利用旋量技术得到了两族新的解。作为一个特殊的结果，哥德尔定理的证明出现了，它指出爱因斯坦场方程的非相干物质和刚性旋转只有两个齐次解，即哥德尔宇宙和爱因斯坦静态宇宙。
Einstein's field equations with incoherent matter are solved for the case of homogeneous spacetime, i.e., for metrics allowing a four parametric simply transitive group of motions. Two families of new solutions are obtained by use of a spinor technique. As a special result a proof emerges for Godel's theorem, which states that there exist only two homogeneous solutions of Einstein's field equations with incoherent matter and rigid rotation, namely the Godel cosmos and the Einstein static universe.