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MINITWISTOR SPACES AND EINSTEIN-WEYL SPACES

Abstract:
The authors relate the Hitchin correspondence (1982) between minitwistor spaces and Einstein-Weyl spaces to the Penrose correspondence between twistor spaces and spacetimes with anti-self-dual Weyl tensor. They show explicitly how to obtain an Einstein-Weyl space from such a spacetime with a conformal Killing vector and provide some examples. They also relate the converse problem to the solution of a generalised monopole equation.
Publication status:
Published

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Publisher copy:
10.1088/0264-9381/2/4/021

Authors


Journal:
CLASSICAL AND QUANTUM GRAVITY
Volume:
2
Issue:
4
Pages:
565-577
Publication date:
1985
DOI:
EISSN:
1361-6382
ISSN:
0264-9381
URN:
uuid:bb8a19b7-1464-4eae-a4de-f581d39fa56b
Source identifiers:
10788
Local pid:
pubs:10788
Language:
English

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