81 citations · 194 across the 5 of their papers we have counts for
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gr-qc2004
Vanishing Scalar Invariant Spacetimes in Higher Dimensions
A. Coley, R. Milson, V. Pravda +1
We study manifolds with Lorentzian signature and prove that all scalar curvature invariants of all orders vanish in a higher-dimensional Lorentzian spacetime if and only if there e…
gr-qc2004
Bianchi identities in higher dimensions
V. Pravda, A. Pravdova, A. Coley +1
A higher dimensional frame formalism is developed in order to study implications of the Bianchi identities for the Weyl tensor in vacuum spacetimes of the algebraic types III and N…
gr-qc2004
Alignment and algebraically special tensors in Lorentzian geometry
R. Milson, A. Coley, V. Pravda +1
We develop a dimension-independent theory of alignment in Lorentzian geometry, and apply it to the tensor classification problem for the Weyl and Ricci tensors. First, we show that…