Classification of the Weyl tensor in higher dimensions

doi:10.1088/0264-9381/21/7/L01

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Classical and Quantum Gravity

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Classical and Quantum Gravity Volume 21 Number 7 Create an alert RSS this journal

A Coley et al 2004 Class. Quantum Grav. 21 L35 doi:10.1088/0264-9381/21/7/L01

Classification of the Weyl tensor in higher dimensions

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A Coley¹, R Milson¹, V Pravda² and A Pravdová²

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Classical and Quantum Gravity

Classification of the Weyl tensor in higher dimensions

The perturbation theory of higher-dimensional spacetimes in the manner of Teukolsky

Types III and N solutions to quadratic gravity

Dirac equation in Kerr-NUT-(A)dS spacetimes: Intrinsic characterization of separability in all dimensions

Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes

Discriminating the Weyl type in higher dimensions using scalar curvature invariants

Symmetric solutions of Einstein's equations in higher dimensions

Second-order symmetric Lorentzian manifolds II: structure and global properties

Perturbations of higher-dimensional spacetimes

A spacetime not characterized by its invariants is of aligned type II

Algebraic classification of five-dimensional spacetimes using scalar invariants

Optical structures, algebraically special spacetimes, and the Goldberg–Sachs theorem in five dimensions

On higher dimensional Einstein spacetimes with a warped extra dimension

Pseudo-Riemannian VSI spaces

Ultraspinning instability of rotating black holes

Numerical relativity for D dimensional space-times: Head-on collisions of black holes and gravitational wave extraction

Type III and N Einstein spacetimes in higher dimensions: General properties

Killing–Yano tensors and multi-Hermitian structures

Curvature operators and scalar curvature invariants

Spinor classification of the Weyl tensor in five dimensions

Algebraic classification of the Weyl tensor in higher dimensions based on its 'superenergy' tensor

Generalization of the Geroch–Held–Penrose formalism to higher dimensions

An extended Kerr–Schild ansatz

Lorentzian manifolds and scalar curvature invariants

Higher dimensional bivectors and classification of the Weyl operator

Asymptotically flat, algebraically special spacetimes in higher dimensions

Generalization of the Gross-Perry Metrics

Hidden symmetries and black holes

Symmetry operators and the separability of massive Klein–Gordon and Dirac equations in the general five-dimensional Kerr–(anti-)de Sitter black hole background

Note on the invariant classification of vacuum type D spacetimes

A higher dimensional generalization of the geodesic part of the Goldberg–Sachs theorem

Spacetimes characterized by their scalar curvature invariants

Higher dimensional Kerr–Schild spacetimes

Bel–Debever criteria for the classification of the Weyl tensor in higher dimensions

Type II Einstein spacetimes in higher dimensions

Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation

Lorentzian spacetimes with constant curvature invariants in four dimensions

Kundt spacetimes

General Kundt spacetimes in higher dimensions

Separability of the massive Dirac equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor

Hidden symmetries of higher-dimensional black holes and uniqueness of the Kerr-NUT-(A)dS spacetime

Exact wave solutions to 6D gauged chiral supergravity

Classification of the Weyl tensor in higher dimensions and applications

Second-order symmetric Lorentzian manifolds: I. Characterization and general results

The Newman–Penrose formalism in higher dimensions: vacuum spacetimes with a non-twisting geodetic multiple Weyl aligned null direction

Lorentzian spacetimes with constant curvature invariants in three dimensions

Robinson–Trautman spacetimes with an electromagnetic field in higher dimensions

Higher-dimensional black holes: hidden symmetries and separation of variables

Metrics with vanishing quantum corrections

Kerr–NUT–de Sitter curvature in all dimensions

The phase structure of higher-dimensional black rings and black holes

Vanishing scalar invariant spacetimes in supergravity

Rotating spacetimes with a cosmological constant

Ricci identities in higher dimensions

Type D Einstein spacetimes in higher dimensions

On the geometry of Killing and conformal tensors

Algebraic classification of higher dimensional spacetimes

On the algebraic classification of spacetimes

Ultrarelativistic boost of spinning and charged black rings

Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment

On spacetimes with constant scalar invariants

Asymptotic structure of radiation in higher dimensions

Higher dimensional VSI spacetimes

Robinson–Trautman spacetimes in higher dimensions

Fermi coordinates and Penrose limits

The Petrov type of the BMPV metric

WANDs of the black ring

Ultrarelativistic boost of the black ring

Quasi-local rotating black holes in higher dimension: geometry

A note on the peeling theorem in higher dimensions

Brane waves

Vanishing scalar invariant spacetimes in higher dimensions

Bianchi cosmologies: a tale of two tilted fluids

Bianchi identities in higher dimensions

Related review articles

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