THREE DIMENSIONAL NEAR-HORIZON METRICS THAT ARE EINSTEIN-WEYL

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Authors

RANDALL Matthew James

Year of publication 2017
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.5817/AM2017-5-335
Keywords near-horizon metrics; Einstein-Weyl geometry; dispersionless equation
Description We investigate which three dimensional near-horizon metrics gNH admit a compatible 1-form X such that (X, [gNH]) defines an Einstein-Weyl structure. We find explicit examples and see that some of the solutions give rise to Einstein-Weyl structures of dispersionless KP type and dispersionless Hirota (aka hyperCR) type.
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