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@article{1339454, author = {Nurowski, Pawel and TaghaviandChabert, Arman}, article_location = {BRISTOL}, article_number = {11}, doi = {http://dx.doi.org/10.1088/0264-9381/32/11/115009}, keywords = {three-dimensional pseudo-Riemannian geometry; Goldberg-Sachs theorem; congruences of geodesics; algebraically special spacetimes; topological massive gravity}, language = {eng}, issn = {0264-9381}, journal = {Classical and Quantum Gravity}, title = {A Goldberg-Sachs theorem in dimension three}, volume = {32}, year = {2015} }
TY - JOUR ID - 1339454 AU - Nurowski, Pawel - Taghavi-Chabert, Arman PY - 2015 TI - A Goldberg-Sachs theorem in dimension three JF - Classical and Quantum Gravity VL - 32 IS - 11 SP - 1-36 EP - 1-36 PB - Institute of Physics SN - 02649381 KW - three-dimensional pseudo-Riemannian geometry KW - Goldberg-Sachs theorem KW - congruences of geodesics KW - algebraically special spacetimes KW - topological massive gravity N2 - 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 necessary and sufficient conditions on the trace-free Ricci tensor for the existence of a null line distribution whose orthogonal complement is integrable and totally geodetic. This includes, in particular, Kundt spacetimes that are solutions of the topological massive gravity equations. ER -
NUROWSKI, Pawel and Arman TAGHAVI-CHABERT. A Goldberg-Sachs theorem in dimension three. \textit{Classical and Quantum Gravity}. BRISTOL: Institute of Physics, 2015, vol.~32, No~11, p.~1-36. ISSN~0264-9381. Available from: https://dx.doi.org/10.1088/0264-9381/32/11/115009.
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