New Homogeneous Solutions of Einstein's Field Equations with Incoherent Matter Obtained by a Spinor Technique
- 1 April 1965
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 6 (4) , 590-610
- https://doi.org/10.1063/1.1704311
Abstract
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 Gödel's theorem, which states that there exist only two homogeneous solutions of Einstein's field equations with incoherent matter and rigid rotation, namely the Gödel cosmos and the Einstein static universe.Keywords
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