64 citations · 80 across the 5 of their papers we have counts for
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Lorentzian spacetimes with constant curvature invariants in four dimensions
Alan Coley, Sigbjorn Hervik, Nicos Pelavas
In this paper we investigate four dimensional Lorentzian spacetimes with constant curvature invariants ( spacetimes). We prove that if a four dimensional spacetime is , t…
Spacetimes characterized by their scalar curvature invariants
Alan Coley, Sigbjorn Hervik, Nicos Pelavas
In this paper we determine the class of four-dimensional Lorentzian manifolds that can be completely characterized by the scalar polynomial curvature invariants constructed from th…
Kundt Spacetimes
A. Coley, S. Hervik, G. Papadopoulos +1
Kundt spacetimes are of great importance in general relativity in 4 dimensions and have a number of topical applications in higher dimensions in the context of string theory. The d…
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…