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arXiv · 2609.09694

Ovcharenko-Podolsky Einstein-Maxwell gravitational instantons

Hari K. Kunduri
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Abstract

We present an explicit three-parameter family of toric Einstein-Maxwell gravitational instantons. These are complete Riemannian manifolds with vanishing scalar curvature which satisfy the Riemannian Einstein-Maxwell equations. We argue that the metric can be extended to a space with two asymptotic ends diffeomorphic to $\mathbb{H}^2 \times S^2$ with a non-collapsing two-cycle (bolt) in the bulk. The global metric is produced by suitably extending an analytic continuation of a local family of Lorentzian black hole geometries constructed by Ovcharenko-Podolsky.

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Hari K. Kunduri. 2026-09-09. Ovcharenko-Podolsky Einstein-Maxwell gravitational instantons. https://arxiv.org/abs/2609.09694

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