EINSTEIN-WEYL STRUCTURES IN THE CONFORMAL CLASSES OF LEBRUN METRICS

Authors
MADSEN AB
Citation
Ab. Madsen, EINSTEIN-WEYL STRUCTURES IN THE CONFORMAL CLASSES OF LEBRUN METRICS, Classical and quantum gravity, 14(9), 1997, pp. 2635-2645
Citations number
28
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
14
Issue
9
Year of publication
1997
Pages
2635 - 2645
Database
ISI
SICI code
0264-9381(1997)14:9<2635:ESITCC>2.0.ZU;2-H
Abstract
We study the Einstein-Weyl equations for diagonal Bianchi IX metrics a nd give new non-trivial Einstein-Weyl structures in the conformal clas ses of Bianchi IX scalar-flat Kahler metrics. These solutions offer ex amples of metrics admitting both Einstein and Einstein-Weyl structures and give also examples of self-dual Einstein-Weyl structures which ca n appear on both sides of the dichotomy established by Pedersen and Sw ann.