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arXiv · 2001.00033

Conformal and isometric embeddings of gravitational instantons

Maciej Dunajski·Paul Tod
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Abstract

We construct isometric and conformally isometric embeddings of some gravitational instantons in $\mathbb{R}^8$ and $\mathbb{R}^7$. In particular we show that the embedding class of the Einstein--Maxwell instanton due to Burns is equal to $3$. For $\mathbb{CP}^2$, Eguchi--Hanson and anti-self-dual Taub-NUT we obtain upper and lower bounds on the embedding class.

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Maciej Dunajski, Paul Tod. 2019-12-31. Conformal and isometric embeddings of gravitational instantons. https://doi.org/10.1007/978-3-030-81296-6_2

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