A higher dimensional generalization of the geodesic part of the Goldberg–Sachs theorem

DOI10.1088/0264-9381/26/24/245005zbMath1181.83183arXiv0908.2771OpenAlexW3100239184MaRDI QIDQ3402081

Mark Durkee, Harvey S. Reall

Publication date: 2 February 2010

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2771

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Kaluza-Klein and other higher-dimensional theories (83E15) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (10)

On higher dimensional Einstein spacetimes with a non-degenerate double Weyl aligned null direction ⋮ A generalization of the Goldberg-Sachs theorem and its consequences ⋮ On a Five-Dimensional Version of the Goldberg-Sachs Theorem ⋮ The complex Goldberg-Sachs theorem in higher dimensions ⋮ Uniqueness of the Kerr-de Sitter spacetime as an algebraically special solution in five dimensions ⋮ 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 ⋮ Type II universal spacetimes ⋮ Spinor-helicity and the algebraic classification of higher-dimensional spacetimes ⋮ On the Goldberg-Sachs theorem in six dimensions

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