New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity

Abstract

We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217, which gave rise to a Type-D solution space. The current Ansatz is based on internal semigroup algebras (without identity) generated by exponentials formed out of the bi-axial symmetry generators. After having switched on the vacuum gauge function, the resulting generalized Weyl tensor is given by a sum of generalized Petrov type-D tensors that are Kerr-like or 2-brane-like in the asymptotic AdS4 region, and the twistor space connection is smooth in twistor space over finite regions of spacetime. We provide evidence for that the linearized twistor space connection can be brought to Vasiliev gauge.

v3: 48 pages; minor modifications; published on JHEP with additional typesetting

References in corpus (3)

• Higher Spins in AdS and Twistorial Holography
• A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
• Unfolded Description of $Ad{S}_4$ Kerr Black Hole

Cited by in corpus (5)

• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Planar solutions of higher-spin theory. Nonlinear corrections
• Metaplectic representation and ordering (in)dependence in Vasiliev's higher spin gravity
• Planar solutions of higher-spin theory I: free field level
• Higher-spin charges in Hamiltonian form. II. Fermi fields