Existence and uniqueness of toric ALE and ALF Ricci-flat gravitational instantons for admissible rod structures, with toric self-dual instantons being multi-Eguchi-Hanson or multi-Taub-NUT.
Weinstein,Harmonic maps with prescribed singularities and applications in general relativity, [arXiv:1902.01576 [gr-qc]]
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
This paper presents a general existence and uniqueness result for harmonic maps with prescribed singularities into non-positively curved targets, and surveys a number of applications to general relativity. It is based on a talk delivered by the author at The 11th Mathematical Society of Japan Seasonal Institute, The Role of Metrics in the Theory of Partial Differential Equations.
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2026 2verdicts
UNVERDICTED 2representative citing papers
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On the existence of toric ALE and ALF gravitational instantons
Existence and uniqueness of toric ALE and ALF Ricci-flat gravitational instantons for admissible rod structures, with toric self-dual instantons being multi-Eguchi-Hanson or multi-Taub-NUT.
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