Non-diagonal four-dimensional cohomogeneity-one Einstein metrics in various signatures
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Dunajski, M
Tod, P
Abstract
Most known four-dimensional cohomogeneity-one Einstein metrics are diagonal in the 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 exhaust the possibilities. In particular we construct new examples of neutral signature non--diagonal Bianchi type VIII Einstein metrics with self--dual Weyl tensor.
Description
Keywords
gr-qc, gr-qc, hep-th, math.DG
Journal Title
Differential Geometry and its Application
Conference Name
Journal ISSN
0926-2245
1872-6984
1872-6984
Volume Title
Publisher
Elsevier BV