Journal article

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

Abstract:
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 exhaust the possibilities. In particular we construct new examples of neutral signature non-diagonal Bianchi type VIII Einstein metrics with self-dual Weyl tensor.
Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Accepted manuscript, pdf, 114.5KB)
Publisher copy:
10.1016/j.difgeo.2016.12.003

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
Publisher:
Elsevier Publisher's website
Journal:
Differential Geometry and its Applications Journal website
Volume:
54
Issue:
A
Pages:
11-30
Publication date:
2017-01-05
DOI:
ISSN:
0926-2245
Source identifiers:
824077
Pubs id:
pubs:824077
UUID:
uuid:c9f9b72b-0dd3-4025-a1f5-982b51740f3c
Local pid:
pubs:824077
Deposit date:
2018-02-12