Holonomy groups and spacetimes

Details Holonomy groups and spacetimes Holonomy groups and spacetimes

2003-10-15

arxiv.org/abs/gr-qc/0310076v1

Class.Quant.Grav. 17 (2000) 1369-1382

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 14 pages, no figure

Scientific paper

10.1088/0264-9381/17/6/304

A study is made of the possible holonomy group types of a space-time for which the energy-momentum tensor corresponds to a null or non-null electromagnetic field, a perfect fluid or a massive scalar field. The case of an Einstein space is also included. The techniques developed are also applied to vacuum and conformally flat space-times and contrasted with already known results in these two cases. Examples are given.

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