93 citations · 259 across the 7 of their papers we have counts for
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Algebraic classification of five-dimensional spacetimes using scalar invariants
A. A. Coley, S. Hervik, M. N. Durkee +1
There are a number of algebraic classifications of spacetimes in higher dimensions utilizing alignment theory, bivectors and discriminants. Previous work gave a set of necessary co…
New approaches to higher-dimensional general relativity
Mark Durkee
This PhD thesis contains a collection of work related to the algebraic classification of spacetimes in higher dimensions, including an up-to-date review of various aspects of the f…
Perturbations of higher-dimensional spacetimes
Mark Durkee, Harvey S. Reall
We discuss linearized gravitational perturbations of higher dimensional spacetimes. For algebraically special spacetimes (e.g. Myers-Perry black holes), we show that there exist lo…
Generalization of the Geroch-Held-Penrose formalism to higher dimensions
Mark Durkee, Vojtech Pravda, Alena Pravdova +1
Geroch, Held and Penrose invented a formalism for studying spacetimes admitting one or two preferred null directions. This approach is very useful for studying algebraically specia…
A higher-dimensional generalization of the geodesic part of the Goldberg-Sachs theorem
Mark Durkee, Harvey S. Reall
In more than four spacetime dimensions, a multiple Weyl-aligned null direction (WAND) need not be geodesic. It is proved that any higher-dimensional Einstein spacetime admitting a…
Type II Einstein spacetimes in higher dimensions
Mark Durkee
This short note shows that many of the results derived by Pravda et al (Class. Quant. Grav. 24 4407-4428) for higher-dimensional Type D Einstein spacetimes can be generalized to al…