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arXiv · 2112.11863

Gravitational Instantons and special geometry

Steffen Aksteiner·Lars Andersson
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Abstract

The Chen-Teo gravitational instanton is an asymptotically flat, toric, Ricci flat family of metrics on $\mathbb{C}\mathbb{P}^2\setminus S^1$, that provides a counterexample to the classical Euclidean Black Hole Uniqueness conjecture. In this paper we show that the Chen-Teo instanton is Hermitian and non-K\"ahler. It follows that all known examples of gravitational instantons are Hermitian.

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Steffen Aksteiner, Lars Andersson. 2021-12-22. Gravitational Instantons and special geometry. https://arxiv.org/abs/2112.11863

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