PreprintarXiv licencearXiv
Gravitational instantons and hyperbolic space
Abstract
We construct a degeneration of Hitchin's non-standard minitwistor spaces associated with toric gravitational instantons of type Aodd 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.
Related
- ALH Gravitational Instantons and Rational Surfaces
- The twistor construction of toric gravitational instantons
- On the Geroch conjecture for toric gravitational instantons
- Pure Spinor Factorization of Belinski-Zakharov Solitons and Regular Gravitational Instantons
- Stability of gravitational instantons with a bounded Killing vector field
BibTeX
@misc{honda2026gravitational,
title = {{Gravitational instantons and hyperbolic space}},
author = {Nobuhiro Honda},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.32243},
eprint = {2609.32243},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.32243},
}
RIS
TY - UNPB
TI - Gravitational instantons and hyperbolic space
AU - Nobuhiro Honda
PY - 2026
DA - 2026/09/26
PB - arXiv
DO - 10.48550/arxiv.2609.32243
UR - https://arxiv.org/abs/2609.32243
AB - We construct a degeneration of Hitchin's non-standard minitwistor spaces associated with toric gravitational instantons of type A_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.
ER -