12 citations · 27 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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…
The Determination of the Metric by the Weyl and Energy-Momentum Tensors
G. S. Hall, M. Sharif
This brief paper investigates the consequences for the metric tensor of space-time when the Weyl tensor (in its conformally invariant form) and the energy-momentum tensor is specif…
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…