Discriminating the Weyl type in higher dimensions using scalar curvature invariants

DOI10.1007/s10714-011-1174-xzbMath1222.83153OpenAlexW1999411317WikidataQ126011799 ScholiaQ126011799MaRDI QIDQ637632

Sigbjørn Hervik, Alan A. Coley

Publication date: 6 September 2011

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11250/182377

zbMATH Keywords

higher dimensionsLorentz manifoldsalgebraic classificationblack hole spacetimespolynomial scalar curvature invariants

Mathematics Subject Classification ID

Black holes (83C57) Geometrodynamics and the holographic principle (83E05) 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)

Related Items (7)

Curvature invariants in a binary black hole merger ⋮ Geometric horizons ⋮ The Cartan algorithm in five dimensions ⋮ Spinors and the Weyl tensor classification in six dimensions ⋮ Theoretical cosmology ⋮ Geometric horizons in binary black hole mergers ⋮ Mathematical general relativity

Cites Work

• Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations
• Higher dimensional bivectors and classification of the Weyl operator
• Curvature operators and scalar curvature invariants
• Kundt spacetimes
• Exact Solutions of Einstein's Field Equations
• Vanishing scalar invariant spacetimes in higher dimensions
• ALIGNMENT AND ALGEBRAICALLY SPECIAL TENSORS IN LORENTZIAN GEOMETRY
• Classification of the Weyl tensor in higher dimensions
• Lorentzian spacetimes with constant curvature invariants in four dimensions
• Classification of the Weyl tensor in higher dimensions and applications

This page was built for publication: Discriminating the Weyl type in higher dimensions using scalar curvature invariants