49 citations · 109 across the 4 of their papers we have counts for
4 papers
The principle of equivalence and projective structure in space-times
G. S. Hall, D. P. Lonie
This paper discusses the extent to which one can determine the space-time metric from a knowledge of a certain subset of the (unparametrised) geodesics of its Levi-Civita connectio…
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…
Holonomy groups and spacetimes
G. S. Hall, D. P. Lonie
A study is made of the possible holonomy group types of a space-time for which the energy-momentum tensor corresponds to a null or non-null electromagnetic field, a perfect fluid o…