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arxiv: gr-qc/0310076 · v1 · pith:DNT7WR5Snew · submitted 2003-10-15 · 🌀 gr-qc

Holonomy groups and spacetimes

classification 🌀 gr-qc
keywords fieldholonomyalreadyappliedcasecasesconformallycontrasted
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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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