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In [[general relativity]] the '''Kantowski-Sachs metric''' describes a [[homogeneous]] but [[anisotropic]] universe whose spatial section has the topology of <math> \mathbb{R} \times S^{2}</math>. The metric is:
:<math>
ds^{2} = -dt^{2} + e^{2\sqrt{\Lambda}t} dz^{2} + \frac{1}{\Lambda}(d\theta^{2} + \sin^{2}\theta d\phi^{2})
</math>
The [[isometry]] group of this spacetime is <math> \mathbb{R} \times SO(3)</math>. Remarkably, the isometry group does not act simply transitively on spacetime, nor does it possess a subgroup with simple transitive action.

==See also==
*[[Bianchi classification]]
*[[Ronald Kantowski]]
*[[Rainer Kurt Sachs]]

[[Category:Physical cosmology]]


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