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A new solution to Einstein's equations hides a topological surprise

Edward Teo

May 27, 2026

Gravitational instantons are solutions to Einstein's equations in imaginary time, relevant to quantum gravity and topology. A new two-parameter example has been identified from the Euclidean double Kerr-NUT family — only the third in an infinite sequence whose existence was proven abstractly years ago. Unlike every previously known Ricci-flat instanton, this one is not Hermitian, making it the first concrete example of a whole new geometrical class.
Published as New asymptotically flat gravitational instanton arXiv:2605.28542
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