753 citations
- Centre National de la Recherche ScientifiqueFR61 papers
- Herzberg Institute of AstrophysicsCA51 papers
- University of British ColumbiaCA48 papers
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- European Southern ObservatoryCL45 papers
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7 papers · 2 filters
The curvature homogeneity bound for Lorentzian four-manifolds
Robert Milson, Nicos Pelavas
We prove that a four-dimensional Lorentzian manifold that is curvature homogeneous of order 3, or CH_3 for short, is necessarily locally homogeneous. We also exhibit and classify f…
The type N Karlhede bound is sharp
Robert Milson, Nicos Pelavas
We present a family of four-dimensional Lorentzian manifolds whose invariant classification requires the seventh covariant derivative of the curvature tensor. The spacetimes in que…
Lorentzian spacetimes with constant curvature invariants in three dimensions
Alan Coley, Sigbjorn Hervik, Nicos Pelavas
In this paper we study Lorentzian spacetimes for which all polynomial scalar invariants constructed from the Riemann tensor and its covariant derivatives are constant (CSI spacetim…
Classification of the Weyl Tensor in Higher Dimensions and Applications
A. Coley
We review the theory of alignment in Lorentzian geometry and apply it to the algebraic classification of the Weyl tensor in higher dimensions. This classification reduces to the th…
Late-time behaviour of the tilted Bianchi type VIh models
S Hervik, R J van den Hoogen, W C Lim +1
We study tilted perfect fluid cosmological models with a constant equation of state parameter in spatially homogeneous models of Bianchi type VI_h using dynamical systems methods a…
On curvature homogeneous 4D Lorentzian manifolds
R. Milson, N. Pelavas
We prove that a four-dimensional Lorentzian manifold that is curvature homogeneous of order 3, or $\CH_3$ for short, is necessarily locally homogeneous. We also exhibit and classif…