Unfolded Description of $Ad{S}_4$ Kerr Black Hole

Abstract

It is shown that $Ad{S}_4$ Kerr black hole is a solution of simple unfolded differential equations that form a deformation of the zero-curvature description of empty $Ad{S}_4$ space-time. Our construction uses the Killing symmetries of the Kerr solution. All known and some new algebraic properties of the Kerr-Schild solution result from the obtained black hole unfolded system in the coordinate-independent way. Kerr Schild type solutions of free equations in $Ad{S}_4$ for massless fields of any spin, associated to the proposed black hole unfolded system, are found.

18 pages

References in corpus (16)

• Gauge Theory Correlators from Non-Critical String Theory
• Charged AdS Black Holes and Catastrophic Holography
• Rotation and the AdS/CFT correspondence
• The General Kerr-de Sitter Metrics in All Dimensions
• Higher Spin Gauge Theories: Star-Product and AdS Space
• Higher-Spin Gauge Theories in Four, Three and Two Dimensions
• Nonlinear higher spin theories in various dimensions
• Introduction to the Classical Theory of Higher Spins
• Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged Supergravities
• Hidden Symmetry of Higher Dimensional Kerr-NUT-AdS Spacetimes
• Separability and Killing Tensors in Kerr-Taub-NUT-de Sitter Metrics in Higher Dimensions
• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• On Higher Spins with a Strong Sp(2,R) Condition
• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
• Non-extremal Charged Rotating Black Holes in Seven-Dimensional Gauged Supergravity
• Discovering the Kerr and Kerr-Schild metrics

Cited by in corpus (30)

• Black holes in three dimensional higher spin gravity: A review
• Static BPS black hole in 4d higher-spin gauge theory
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• Biaxially symmetric solutions to 4D higher-spin gravity
• Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry
• Gauge fields in (A)dS within the unfolded approach: algebraic aspects
• Classical double copy at null infinity
• An action principle for Vasiliev's four-dimensional higher-spin gravity
• The double copy of the multipole expansion
• Twistor space observables and quasi-amplitudes in 4D higher spin gravity
• Why is the Weyl double copy local in position space?
• Non-perturbative aspects of the self-dual double copy
• The Weyl double copy in vacuum spacetimes with a cosmological constant
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Solutions in Nonlinear Electrodynamics and their double copy regular black holes
• Planar solutions of higher-spin theory. Nonlinear corrections
• Quartic locality of higher-spin gravity in de Sitter and Euclidean anti-de Sitter space
• Charges in nonlinear higher-spin theory
• New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity
• Classical double copy and higher-spin fields
• Planar solutions of higher-spin theory I: free field level
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• Action principles for higher and fractional spin gravities
• Coordinate independent approach to 5d black holes
• Higher-spin gravity's "string": new gauge and proof of holographic duality for the linearized Didenko-Vasiliev solution
• Bulk locality and gauge invariance for boundary-bilocal cubic correlators in higher-spin gravity
• New diagrammatic framework for higher-spin gravity
• Higher spin holography with Galilean symmetry in general dimensions
• Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgrounds
• On boundary conditions and spacetime/fibre duality in Vasiliev's higher-spin gravity