Holonomy groups and spacetimes

Citation
Cs. Hall et Dp. Lonie, Holonomy groups and spacetimes, CLASS QUANT, 17(6), 2000, pp. 1369-1382
Citations number
21
Categorie Soggetti
Physics
Journal title
CLASSICAL AND QUANTUM GRAVITY
ISSN journal
02649381 → ACNP
Volume
17
Issue
6
Year of publication
2000
Pages
1369 - 1382
Database
ISI
SICI code
0264-9381(20000321)17:6<1369:HGAS>2.0.ZU;2-L
Abstract
A study is made of the possible holonomy group types of a spacetime for whi ch the energy-momentum tensor corresponds to a null or non-null electromagn etic field, a perfect fluid or a massive scaler field. The case of an Einst ein space is also included. The techniques developed are, in addition, appl ied to vacuum and conformally flat spacetimes and contrasted with already k nown results in these two cases. Examples are given.