THREE DIMENSIONAL NEAR-HORIZON METRICS THAT ARE EINSTEIN-WEYL
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | Archivum Mathematicum |
| MU Faculty or unit | |
| Citation | RANDALL, Matthew James. THREE DIMENSIONAL NEAR-HORIZON METRICS THAT ARE EINSTEIN-WEYL. Archivum Mathematicum. BRNO: Masarykova univerzita, 2017, vol. 53, No 5, p. 335-345. ISSN 1212-5059. Available from: https://dx.doi.org/10.5817/AM2017-5-335. |
| 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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