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gr-qc2015★ 10 cited
A Goldberg-Sachs theorem in dimension three
Pawel Nurowski, Arman Taghavi-Chabert
We prove a Goldberg-Sachs theorem in dimension three. To be precise, given a three-dimensional Lorentzian manifold satisfying the topological massive gravity equations, we provide…
gr-qc2010★ 14 cited
Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions
Arman Taghavi-Chabert
Optical (or Robinson) structures are one generalisation of four-dimensional shearfree congruences of null geodesics to higher dimensions. They are Lorentzian analogues of complex a…