5 papers
(Conformal) Killing vectors and their associated bivectors
Garry Ludwig
Fayos and Sopuerta have recently set up a formalism for studying vacuum spacetimes with an isometry, a formalism that is centred around the bivector corresponding to the Killing ve…
(Conformal) Killing vectors in the Newman-Penrose formalism
Garry Ludwig, S. Brian Edgar
This paper presents an efficient technique for finding Killing, homothetic, or even proper conformal Killing vectors in the Newman-Penrose (NP) formalism. Leaning on, and extending…
Integration in the GHP formalism III: Finding all conformally flat radiation metrics as an example of an `optimal situation'
S. Brian Edgar, Garry Ludwig
Held has proposed an integration procedure within the GHP formalism built around four real, functionally independent, zero-weighted scalars. He suggests that such a procedure would…
All conformally flat pure radiation metrics
S. Brian Edgar, Garry Ludwig
The complete class of conformally flat, pure radiation metrics is given, generalising the metric recently given by Wils.
Integration in the GHP formalism II: An operator approach for spacetimes with killing vectors, with applications to twisting type n spaces
S. Brian Edgar, Garry Ludwig
Held has proposed a coordinate- and gauge-free integration procedure within the GHP formalism built around four functionally independent zero-weighted scalars constructed from the…