Three dimensional near-horizon metrics that are Einstein-Weyl

Matthew Randall

Archivum Mathematicum (2017)

  • Volume: 053, Issue: 5, page 335-345
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Randall, Matthew. "Three dimensional near-horizon metrics that are Einstein-Weyl." Archivum Mathematicum 053.5 (2017): 335-345. <http://eudml.org/doc/294285>.

@article{Randall2017,
abstract = {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.},
author = {Randall, Matthew},
journal = {Archivum Mathematicum},
language = {eng},
number = {5},
pages = {335-345},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Three dimensional near-horizon metrics that are Einstein-Weyl},
url = {http://eudml.org/doc/294285},
volume = {053},
year = {2017},
}

TY - JOUR
AU - Randall, Matthew
TI - Three dimensional near-horizon metrics that are Einstein-Weyl
JO - Archivum Mathematicum
PY - 2017
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 053
IS - 5
SP - 335
EP - 345
AB - 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.
LA - eng
UR - http://eudml.org/doc/294285
ER -

References

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