3 papers
gr-qc2026
Comment: Exact vacuum solution with Hopf structure in general relativity
Malcolm A. H. MacCallum
Harada's recently announced Kerr-Schild solution of Einstein's equations in general relativity [Phys. Rev. D {\bf 112}, 024020 92025)] is identified as isometric with one of the we…
gr-qc2020
Totally symmetrized spinors and null rotation invariance
Malcolm A. H. MacCallum
In the existing implementations of the Cartan-Karlhede procedure for characterization and classification of spacetimes, a prominent rôle is played by multi-index two-component spin…
gr-qc2017
Cartan Invariants and Event Horizon Detection, Extended Version
D. D. McNutt, M. A. H. MacCallum, D. Gregoris +4
We show that it is possible to locate the event horizons of a black hole (in arbitrary dimensions) as the zeros of certain Cartan invariants. This approach accounts for the recent…