Classification of Higher Dimensional Spacetimes

Abstract

We algebraically classify some higher dimensional spacetimes, including a number of vacuum solutions of the Einstein field equations which can represent higher dimensional black holes. We discuss some consequences of this work.

16 pages, 1 Table

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Cited by in corpus (24)

• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• Classification of the Weyl Tensor in Higher Dimensions and Applications
• `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
• Algebraic classification of higher dimensional spacetimes based on null alignment
• Type D Einstein spacetimes in higher dimensions
• Superradiant instability of large radius doubly spinning black rings
• Killing-Yano tensors and multi-hermitian structures
• Rotating spacetimes with a cosmological constant
• Geometric Horizons
• Identification of black hole horizons using scalar curvature invariants
• Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor
• Spinor classification of the Weyl tensor in five dimensions
• Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment
• Separability of a modified Dirac equation in a five-dimensional rotating, charged black hole in string theory
• The perturbation theory of higher dimensional spacetimes a la Teukolsky
• Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
• The Cartan Algorithm in Five Dimensions
• Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions
• Algebraic classification of five-dimensional spacetimes using scalar invariants
• Horizon Detection and Higher Dimensional Black Rings
• On the algebraic classification of spacetimes
• Generalization Of The Gross-Perry Metrics
• On the uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions
• On type II(D) Einstein spacetimes in six dimensions