PreprintCC BY 4.0arXiv
Ovcharenko-Podolsky Einstein-Maxwell gravitational instantons
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 ℍ2 × S2 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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BibTeX
@misc{kunduri2026ovcharenkopodolsky,
title = {{Ovcharenko-Podolsky Einstein-Maxwell gravitational instantons}},
author = {Hari K. Kunduri},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09694},
eprint = {2609.09694},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09694},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Ovcharenko-Podolsky Einstein-Maxwell gravitational instantons
AU - Hari K. Kunduri
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.09694
UR - https://arxiv.org/abs/2609.09694
AB - 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 ℍ^2 × 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.
ER -