Gravitational instantons and hyperbolic space

Nobuhiro Honda

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arXiv · 2609.32243

Gravitational instantons and hyperbolic space

Nobuhiro Honda

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Abstract

We construct a degeneration of Hitchin's non-standard minitwistor spaces associated with toric gravitational instantons of type A$_{\rm odd}$ to the minitwistor space of a simple hyperbolic orbifold. We show that the corresponding families of minitwistor lines also converge under this degeneration. Consequently, the associated non-standard Einstein--Weyl spaces converge to the hyperbolic orbifold.

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Nobuhiro Honda. 2026-09-26. Gravitational instantons and hyperbolic space. https://arxiv.org/abs/2609.32243

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