102 citations · 1.3k across the 59 of their papers we have counts for
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Algebraic classification of higher dimensional spacetimes based on null alignment
Marcello Ortaggio, Vojtech Pravda, Alena Pravdova
We review recent developments and applications of the classification of the Weyl tensor in higher dimensional Lorentzian geometries. First, we discuss the general setup, i.e. main…
On the Goldberg-Sachs theorem in higher dimensions in the non-twisting case
Marcello Ortaggio, Vojtěch Pravda, Alena Pravdová
We study a generalization of the "shear-free part" of the Goldberg-Sachs theorem for Einstein spacetimes admitting a non-twisting multiple Weyl Aligned Null Direction (WAND) l in n…
On a five-dimensional version of the Goldberg-Sachs theorem
Marcello Ortaggio, Vojtech Pravda, Alena Pravdova +1
Previous work has found a higher-dimensional generalization of the "geodesic part" of the Goldberg-Sachs theorem. We investigate the generalization of the "shear-free part" of the…
Minimal tensors and purely electric or magnetic spacetimes of arbitrary dimension
Sigbjørn Hervik, Marcello Ortaggio, Lode Wylleman
We consider time reversal transformations to obtain twofold orthogonal splittings of any tensor on a Lorentzian space of arbitrary dimension n. Applied to the Weyl tensor of a spac…
Refinements of the Weyl tensor classification in five dimensions
Alan Coley, Sigbjorn Hervik, Marcello Ortaggio +1
We refine the null alignment classification of the Weyl tensor of a five-dimensional spacetime. The paper focusses on the algebraically special alignment types {\bf {N}}, {\bf {III…