Optical structures, algebraically special spacetimes, and the Goldberg–Sachs theorem in five dimensions
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Publication:3091671
DOI10.1088/0264-9381/28/14/145010zbMath1225.83018arXiv1011.6168OpenAlexW3101038980MaRDI QIDQ3091671
Publication date: 12 September 2011
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.6168
Applications of differential geometry to physics (53Z05) Kaluza-Klein and other higher-dimensional theories (83E15) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Equations of motion in general relativity and gravitational theory (83C10)
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Pure spinors, intrinsic torsion and curvature in even dimensions ⋮ A generalization of the Goldberg-Sachs theorem and its consequences ⋮ Almost Robinson geometries ⋮ The complex Goldberg-Sachs theorem in higher dimensions ⋮ On the Weyl tensor classification in all dimensions and its relation with integrability properties ⋮ Spinors and the Weyl tensor classification in six dimensions ⋮ On the uniqueness of the Myers-Perry spacetime as a type II(D) solution in six dimensions ⋮ Spinor-helicity and the algebraic classification of higher-dimensional spacetimes ⋮ Pure spinors, intrinsic torsion and curvature in odd dimensions
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