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arXiv · gr-qc/0406082

Holonomy and projective symmetry in space-times

G. S. Hall·D. P. Lonie
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Abstract

It is shown using a space-time curvature classification and decomposition that for certain holonomy types of a space-time, proper projective vector fields cannot exist. Existence is confirmed, by example, for the remaining holonomy types. In all except the most general holonomy type, a local uniqueness theorem for proper projective symmetry is established.

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G. S. Hall, D. P. Lonie. 2004-06-21. Holonomy and projective symmetry in space-times. https://doi.org/10.1088/0264-9381%2F21%2F19%2F004

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