Einstein - Weyl structures in the conformal classes of LeBrun metrics

Details Einstein - Weyl structures in the conformal classes of LeBrun metrics Einstein - Weyl structures in the conformal classes of LeBrun metrics

Sep 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cqgra..14.2635b&link_type=abstract

Classical and Quantum Gravity, Volume 14, Issue 9, pp. 2635-2645 (1997).

Physics

3

Scientific paper

We study the Einstein - Weyl equations for diagonal Bianchi IX metrics and give new non-trivial Einstein - Weyl structures in the conformal classes of Bianchi IX scalar-flat Kähler metrics. These solutions offer examples of metrics admitting both Einstein and Einstein - Weyl structures and give also examples of self-dual Einstein - Weyl structures which can appear on both sides of the dichotomy established by Pedersen and Swann.

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