93 citations · 259 across the 7 of their papers we have counts for
8 papers
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 near-horizon geometries and instabilities of Myers-Perry black holes
Mark Durkee, Harvey S. Reall
It is shown that the equations governing linearized gravitational (or electromagnetic) perturbations of the near-horizon geometry of any known extreme vacuum black hole (allowing 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…