All ASD complex and real 4-dimensional Einstein spaces with Λ≠0 admitting a nonnull Killing vector

DOI10.1142/S0219887816500110zbMath1337.83020arXiv1312.4284OpenAlexW3104271324MaRDI QIDQ2795359

Adam Chudecki

Publication date: 21 March 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4284

zbMATH Keywords

Toda field equationheavenly spacesanti-self-dual (ASD) 4-dimensional complex Einstein spaces with nonzero cosmological constantASD spacesBoyer-Finley-Plebański equationnonnull Killing vectors

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Gravitational energy and conservation laws; groups of motions (83C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Exact solutions to problems in general relativity and gravitational theory (83C15)

Cites Work

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• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Some basic properties of Killing spinors

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