64 citations · 80 across the 5 of their papers we have counts for
5 papers
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…
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…
Gravitational entropy in cosmological models
Nicos Pelavas, Alan Coley
We discuss whether an appropriately defined dimensionless scalar function might be an acceptable candidate for the gravitational entropy, by explicitly considering Szekeres and Bia…