Higher dimensional bivectors and classification of the Weyl operator

DOI10.1088/0264-9381/27/1/015002zbMath1184.83051arXiv0909.1160OpenAlexW2056725310MaRDI QIDQ3405527

Alan A. Coley, Sigbjørn Hervik

Publication date: 16 February 2010

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

Full work available at URL: https://arxiv.org/abs/0909.1160

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of differential geometry to physics (53Z05)

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ON THE ALGEBRAIC CLASSIFICATION OF PSEUDO-RIEMANNIAN SPACES ⋮ Cartan invariants and event horizon detection ⋮ Curvature invariants in a binary black hole merger ⋮ The classification of the Weyl conformal tensor in 4-dimensional manifolds of neutral signature ⋮ A generalization of the Goldberg-Sachs theorem and its consequences ⋮ Geometric horizons ⋮ Weyl tensor classification in four-dimensional manifolds of all signatures ⋮ Discriminating the Weyl type in higher dimensions using scalar curvature invariants ⋮ Violating the quantum focusing conjecture and quantum covariant entropy bound in d ⩾ 5 dimensions ⋮ The Cartan algorithm in five dimensions ⋮ On the Weyl tensor classification in all dimensions and its relation with integrability properties ⋮ Spinors and the Weyl tensor classification in six dimensions ⋮ Spinor-helicity and the algebraic classification of higher-dimensional spacetimes ⋮ Some comparisons of the Weyl conformal tensor and its classification in 4-dimensional Lorentz, neutral or positive definite signatures

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