Hall, G. S.; Lonie, D. P. Holonomy groups and spacetimes. (English) Zbl 0957.83014 Classical Quantum Gravity 17, No. 6, 1369-1382 (2000). For a given (simply connected) spacetime \(M\), the holonomy group of its connection is a subgroup of the Lorentz group \(L\); the classification of the Lie subalgebras of \(L\) gives rise to a (global) classification of spacetimes. The paper under review gives the possible classes of holonomy when \(M\) is: a vacuum, an Einstein, a conformally flat, a null Einstein-Maxwell type, a non-null Einstein-Maxwell type or a perfect fluid spacetime, respectively. With few exceptions, examples for each class are provided. Reviewer: G.Pripoae (Bucureşti) Cited in 1 ReviewCited in 14 Documents MSC: 83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 83C22 Einstein-Maxwell equations Keywords:holonomy group; spacetime classsification; vacuum spacetime; conformally flat spacetime; perfect fluid; massive scalar field PDFBibTeX XMLCite \textit{G. S. Hall} and \textit{D. P. Lonie}, Classical Quantum Gravity 17, No. 6, 1369--1382 (2000; Zbl 0957.83014) Full Text: DOI arXiv