49 citations · 98 across the 7 of their papers we have counts for
7 papers
Purely magnetic spacetimes
Alan Barnes
Spacetimes in which the electric part of the Weyl tensor vanishes (relative to some timelike unit vector field) are said to be purely magnetic. Examples of purely magnetic spacetim…
Comment on "Conformally flat stationary axisymmetric metrics"
Alan Barnes, Jose MM Senovilla
Garcia and Campuzano claim to have found a previously overlooked family of stationary and axisymmetric conformally flat spacetimes, contradicting an old theorem of Collinson. In bo…
Killing Tensors and Conformal Killing Tensors from Conformal Killing Vectors
Raffaele Rani, S. Brian Edgar, Alan Barnes
Koutras has proposed some methods to construct reducible proper conformal Killing tensors and Killing tensors (which are, in general, irreducible) when a pair of orthogonal conform…
On the Symmetries of the Edgar-Ludwig Metric
Alan Barnes
The conformal Killing equations for the most general (non-plane wave) conformally flat pure radiation field are solved to find the conformal Killing vectors. As expected fifteen in…
Some Restrictions on Symmetry Groups of Axially Symmetric Spacetimes
Alan Barnes
Lie transformation groups containing a one-dimensional subgroup acting cyclically on a manifold are considered. The structure of the group is found to be considerably restricted by…
On Cyclically Symmetrical Spacetimes
Alan Barnes
In a recent paper Carot et al. considered the definition of cylindrical symmetry as a specialisation of the case of axial symmetry. One of their propositions states that if there i…