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We present new infinite-dimensional spaces of bi-axially symmetricasymptotically anti-de Sitter solutions to four-dimensional Vasiliev higherspin 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 oninternal semigroup algebras (without identity) generated by exponentials formedout of the bi-axial symmetry generators. After having switched on the vacuumgauge function, the resulting generalized Weyl tensor is given by a sum ofgeneralized Petrov type-D tensors that are Kerr-like or 2-brane-like in theasymptotic AdS4 region, and the twistor space connection is smooth in twistorspace over finite regions of spacetime. We provide evidence for that thelinearized twistor space connection can be brought to Vasiliev gauge.

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