On a five-dimensional version of the Goldberg–Sachs theorem

DOI10.1088/0264-9381/29/20/205002zbMath1256.83004arXiv1205.1119OpenAlexW2100164821MaRDI QIDQ3143936

Alena Pravdová, Harvey S. Reall, Vojtech Pravda, Marcello Ortaggio

Publication date: 6 December 2012

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

Full work available at URL: https://arxiv.org/abs/1205.1119

zbMATH Keywords

Goldberg-Sachs theoremWeyl aligned null directionfive-dimensional Einstein spacetime

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) 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 ⋮ On a Five-Dimensional Version of the Goldberg-Sachs Theorem ⋮ Extraction of gravitational-wave energy in higher dimensional numerical relativity using the Weyl tensor ⋮ On the Weyl tensor classification in all dimensions and its relation with integrability properties ⋮ 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 ⋮ Exact solutions and their interpretation: session A1 ⋮ Spinor-helicity and the algebraic classification of higher-dimensional spacetimes ⋮ On the Goldberg-Sachs theorem in six dimensions

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