Holonomy and projective symmetry in space-times

Details Holonomy and projective symmetry in space-times Holonomy and projective symmetry in space-times

2004-06-21

arxiv.org/abs/gr-qc/0406082v1

Class.Quant.Grav. 21 (2004) 4549-4556

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTex2e, 12 pages

Scientific paper

10.1088/0264-9381/21/19/004

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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