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Published online by Cambridge University Press: 24 April 2025
We describe nontrivial topologies. First, we describe the Taub–NUT solutions. Then the Taub–NUT of Hawking and the Taub solution, as gravitational instantons. Then the Eguchi–Hanson metric, obtained from a Yang–Mills like instanton ansatz. Then the Gibbons–Hawking multi-instanton. The KK monopole is shown to be an example of application of the Taub–NUT instanton. Finally, we describe the Gödel Universe, a rotating solution with closed timelike curves (CTCs), even though the source is standard, just dust matter and cosmological constant.
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