Geodesic
Three dimensional near-horizon metrics that are Einstein-Weyl
Archivum mathematicum, Tome 53 (2017) no. 5, pp. 335-345

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We investigate which three dimensional near-horizon metrics $g_{NH}$ admit a compatible 1-form $X$ such that $(X, [g_{NH}])$ 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.
DOI : 10.5817/AM2017-5-335
Classification : 53B15, 53B30, 83C57 
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     title = {Three dimensional near-horizon metrics that are {Einstein-Weyl}},
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Randall, Matthew. Three dimensional near-horizon metrics that are Einstein-Weyl. Archivum mathematicum, Tome 53 (2017) no. 5, pp. 335-345. doi: 10.5817/AM2017-5-335

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