On the algebraic classification of spacetimes

Abstract

We briefly overview the Petrov classification in four dimensions and its generalization to higher dimensions.

Submitted to Journal of Physics, conference series, proceedings of 4th meeting on constrained dynamics and quantum gravity, 12-16 September 2005, Sardinia, Italy

References in corpus (5)

• Quasi-local rotating black holes in higher dimension: geometry
• WANDs of the Black Ring
• Classification of Higher Dimensional Spacetimes
• Curvature tensors on distorted Killing horizons and their algebraic classification
• A note on the peeling theorem in higher dimensions

Cited by in corpus (6)

• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• Classification of the Weyl Tensor in Higher Dimensions and Applications
• 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
• Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
• Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions
• Cosmologically inspired Kastor-Traschen solution