| Title:
|
Three dimensional near-horizon metrics that are Einstein-Weyl (English) |
| Author:
|
Randall, Matthew |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
53 |
| Issue:
|
5 |
| Year:
|
2017 |
| Pages:
|
335-345 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| MSC:
|
53B15 |
| MSC:
|
53B30 |
| MSC:
|
83C57 |
| idZBL:
|
Zbl 06861561 |
| idMR:
|
MR3746068 |
| DOI:
|
10.5817/AM2017-5-335 |
| . |
| Date available:
|
2018-01-03T14:52:51Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147024 |
| . |
| Reference:
|
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