Abstract
We consider Riemannian 3-metrics which can form the spatial part of vacuum solutions of the Einstein equations, possibly with a cosmological constant, in more than one way (in a sense made precise). The locally rotationally symmetric (LRS) Kasner metric gives the simplest example, and we find that the resulting space-time metrics are always of Petrov type D.
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Tod, K.P. Letter: Spatial Metrics Which are Static in Many Ways. General Relativity and Gravitation 32, 2079–2090 (2000). https://doi.org/10.1023/A:1001986116619
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DOI: https://doi.org/10.1023/A:1001986116619