A new two-parameter AF toric gravitational instanton with Euler number 4 and Hirzebruch signature 0 is obtained as a special case of the Euclidean double Kerr-NUT solution, the third in a sequence after Kerr and Chen-Teo, and the first known non-Hermitian Ricci-flat example.
Twistor theory of the Chen–Teo gravitational instanton.arXiv preprint arXiv:2405.08170,
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A survey of classification results for hyperkähler and Hermitian gravitational instantons, constructions of non-Hermitian ones via harmonic maps, and open questions in the field.
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New asymptotically flat gravitational instanton
A new two-parameter AF toric gravitational instanton with Euler number 4 and Hirzebruch signature 0 is obtained as a special case of the Euclidean double Kerr-NUT solution, the third in a sequence after Kerr and Chen-Teo, and the first known non-Hermitian Ricci-flat example.
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Geometry of gravitational instantons
A survey of classification results for hyperkähler and Hermitian gravitational instantons, constructions of non-Hermitian ones via harmonic maps, and open questions in the field.