Kantowski–Sachs metric

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In general relativity the Kantowski-Sachs metric (named after Ronald Kantowski and Rainer K. Sachs)[1] describes a homogeneous but anisotropic universe whose spatial section has the topology of . The metric is:

The isometry group of this spacetime is . Remarkably, the isometry group does not act simply transitively on spacetime, nor does it possess a subgroup with simple transitive action.

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  1. ^ Kantowski, R. & Sachs, R. K. (1966). "Some spatially inhomogeneous dust models". J. Math. Phys. 7 (3): 443. Bibcode:1966JMP.....7..443K. doi:10.1063/1.1704952.