Non-diagonal four-dimensional cohomogeneity-one Einstein metrics in various signatures

Most known four-dimensional cohomogeneity-one Einstein metrics are diagonal in a basis defined by the left-invariant one-forms, though some essentially non-diagonal ones are known. We consider the problem of explicitly seeking non-diagonal Einstein metrics, and we find solutions which in some cases...

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Detalhes bibliográficos
Main Authors: Dunajski, M, Tod, P
Formato: Journal article
Publicado em: Elsevier 2017