J 2017

THREE DIMENSIONAL NEAR-HORIZON METRICS THAT ARE EINSTEIN-WEYL

RANDALL, Matthew James

Basic information

Original name

THREE DIMENSIONAL NEAR-HORIZON METRICS THAT ARE EINSTEIN-WEYL

Authors

RANDALL, Matthew James (554 New Zealand, guarantor, belonging to the institution)

Edition

Archivum Mathematicum, BRNO, Masarykova univerzita, 2017, 1212-5059

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/00216224:14310/17:00095579

Organization unit

Faculty of Science

DOI

UT WoS

000419967700005

Keywords in English

near-horizon metrics; Einstein-Weyl geometry; dispersionless equation

Tags

Tags

International impact, Reviewed
Změněno: 12/4/2018 15:37, Ing. Nicole Zrilić

Abstract

V originále

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.

Links

GBP201/12/G028, research and development project
Name: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku
Investor: Czech Science Foundation