`Hidden' Symmetries of Higher Dimensional Rotating Black Holes

Abstract

We demonstrate that the rotating black holes in an arbitrary number of dimensions and without any restrictions on their rotation parameters possess the same `hidden' symmetry as the 4-dimensional Kerr metric. Namely, besides the spacetime symmetries generated by the Killing vectors they also admit the (antisymmetric) Killing-Yano and symmetric Killing tensors.

4 pages, slightly extended introduction

References in corpus (56)

• Holographic Phase Transitions with Fundamental Matter
• General Kerr-NUT-AdS Metrics in All Dimensions
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Hidden symmetries, null geodesics, and photon capture in the Sen black hole
• Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
• Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
• Classification of the Weyl Tensor in Higher Dimensions and Applications
• Hidden Symmetry of Higher Dimensional Kerr-NUT-AdS Spacetimes
• Quasinormal modes of D-dimensional de Sitter spacetime
• Rotating Black Holes in Higher Dimensional Einstein-Maxwell Gravity
• Robinson-Trautman spacetimes in higher dimensions
• A Topology-Changing Phase Transition and the Dynamics of Flavour
• Type D Einstein spacetimes in higher dimensions
• Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness
• Electromagnetic Properties of Kerr-Anti-de Sitter Black Holes
• Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime
• Charged Rotating Black Holes in Odd Dimensions
• On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
• Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
• Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics
• Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes
• Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
• Accelerating Kerr-Newman black holes in (anti-)de Sitter space-time
• Superradiance and Instability of Black Holes
• Merger Transitions in Brane--Black-Hole Systems: Criticality, Scaling, and Self-Similarity
• Rotating Einstein-Maxwell-Dilaton Black Holes in D Dimensions
• Closed conformal Killing-Yano tensor and geodesic integrability
• Electromagnetic quasinormal modes of D-dimensional black holes
• Complete Set of Commuting Symmetry Operators for the Klein-Gordon Equation in Generalized Higher-Dimensional Kerr-NUT-(A)dS Spacetimes
• Particle Motion and Scalar Field Propagation in Myers-Perry Black Hole Spacetimes in All Dimensions
• Higher dimensional rotating black holes in Einstein-Maxwell theory with negative cosmological constant
• Integrability and the Kerr-(A)dS black hole in five dimensions
• New Black Holes in Five Dimensions
• Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS spacetimes
• Explicit Toric Metric on Resolved Calabi-Yau Cone
• Kerr-Schild Structure and Harmonic 2-forms on (A)dS-Kerr-NUT Metrics
• Generalized Kerr-NUT-de Sitter metrics in all dimensions
• Killing-Yano equations and G-structures
• Electromagnetic Field in Higher-Dimensional Black-Hole Spacetimes
• 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
• Perturbations and Stability of Higher-Dimensional Black Holes
• Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes
• Analytic Evidence for Continuous Self Similarity of the Critical Merger Solution
• Resolutions of Cones over Einstein-Sasaki Spaces
• Rotating Black Holes in Higher Dimensions
• Solving parallel transport equations in the higher-dimensional Kerr-NUT-(A)dS spacetimes
• Charged particle interferometry in Plebański--Demiański black hole space--times
• Do Killing-Yano tensors form a Lie Algebra?
• Charged-rotating black holes and black strings in higher dimensional Einstein-Maxwell theory with a positive cosmological constant
• A Killing tensor for higher dimensional Kerr-AdS black holes with NUT charge
• Stationary Strings in the Spacetime of Rotating Black Holes in Five-Dimensional Minimal Gauged Supergravity
• Branes and Black holes in Collision
• Five-Dimensional Black Hole Capture Cross-Sections
• Higher-Dimensional Bulk Wormholes and their Manifestations in Brane Worlds
• Ray-tracing in four and higher dimensional black holes: An analytical approximation
• Killing-Yano Forms of a Class of Spherically Symmetric Space-Times I: A Unified Generation of Killing Vector Fields

Cited by in corpus (46)

• Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
• Classification of the Weyl Tensor in Higher Dimensions and Applications
• Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
• Hidden Symmetries of Dynamics in Classical and Quantum Physics
• Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness
• Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime
• Maxwell's Equations in the Myers-Perry Geometry
• On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
• Charged particle in higher dimensional weakly charged rotating black hole spacetime
• Rotating Einstein-Maxwell-Dilaton Black Holes in D Dimensions
• Closed conformal Killing-Yano tensor and geodesic integrability
• Symmetries of the Dirac operator with skew-symmetric torsion
• Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime
• Love Numbers for Rotating Black Holes in Higher Dimensions
• Generalized Kerr-NUT-de Sitter metrics in all dimensions
• Dynamics of test particles in the general five-dimensional Myers-Perry spacetime
• 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
• Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes
• Constants of Motion for Constrained Hamiltonian Systems: A Particle around a Charged Rotating Black Hole
• Hidden symmetries of Eisenhart-Duval lift metrics and the Dirac equation with flux
• Chaos in Geodesic Motion around a Black Ring
• Solving parallel transport equations in the higher-dimensional Kerr-NUT-(A)dS spacetimes
• Quasi-normal modes for doubly rotating black holes
• Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
• Stationary Strings in the Spacetime of Rotating Black Holes in Five-Dimensional Minimal Gauged Supergravity
• Five-Dimensional Black Hole Capture Cross-Sections
• Dynamics, symmetries, anomaly and vortices in a rotating cosmic string background
• On hidden symmetries of extremal Kerr-NUT-AdS-dS black holes
• Self-dual metrics with maximally superintegrable geodesic flows
• SUSY in the Spacetime of Higher-Dimensional Rotating Black Holes
• Slowly rotating black holes with exact Killing tensor symmetries
• Super-radiance and flux conservation
• Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability
• Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
• Ray-tracing in four and higher dimensional black holes: An analytical approximation
• Conformal bridge in a cosmic string background
• Killing tensors of generalized Lense-Thirring space-time
• CFT Duals for Black Rings and Black Strings
• Killing-Yano charges of asymptotically maximally symmetric black holes
• Black branes with cosmological constant
• The precession of particle spin in spherical symmetric spacetimes
• Separation of variables in the WZW models
• Hidden symmetries of black holes in five-dimensional supergravity
• Achromatic, spin-odd Kerr EVPA as a null Frenet-Serret torsion integral on the photon ring
• On a lower-dimensional Killing vector origin of irreducible Killing tensors
• Higher-dimensional black holes with multiple equal rotations