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CONFORMAL EINSTEIN-SPACES

Abstract:
We study conformal transformations in four-dimensional manifolds. In particular, we present a new set of two necessary and sufficient conditions for a space to be conformal to an Einstein space. The first condition defines the class of spaces conformal to C spaces, whereas the last one (the vanishing of the Bach tensor) gives the particular subclass of C spaces which are conformally related to Einstein spaces. © 1985 Plenum Publishing Corporation.
Publication status:
Published

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Publisher copy:
10.1007/BF00759678
Publisher:
Kluwer Academic Publishers-Plenum Publishers
Journal:
GENERAL RELATIVITY AND GRAVITATION More from this journal
Volume:
17
Issue:
4
Pages:
343-352
Publication date:
1985-01-01
DOI:
EISSN:
1572-9532
ISSN:
0001-7701
Language:
English
Pubs id:
pubs:21981
UUID:
uuid:abf11b66-a8ee-4e53-a9fe-f55945dcadd6
Local pid:
pubs:21981
Source identifiers:
21981
Deposit date:
2012-12-19

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