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gr-qc2005
On the compatibility of Lorentz-metrics with linear connections on 4-dimensional manifolds
G. S. Hall, D. P. Lonie
This paper considers 4-dimensional manifolds upon which there is a Lorentz metric, h, and a symmetric connection and which are originally assumed unrelated. It then derives suffici…
gr-qc2004
Holonomy and projective symmetry in space-times
G. S. Hall, D. P. Lonie
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 i…
gr-qc2003
On the Theory of Killing Orbits in Space-Time
G. S. Hall
This paper gives a theoretical discussion of the orbits and isotropies which arise in a space-time which admits a Lie algebra of Killing vector fields. The submanifold structure of…