  We review various methods for finding exact solutions of higher spin theory
in four dimensions, and survey the known exact solutions of (non)minimal
Vasiliev's equations. These include instanton-like and black hole-like
solutions in (A)dS and Kleinian spacetimes. A perturbative construction of
solutions with the symmetries of a domain wall is described as well.
Furthermore, we review two proposed perturbative schemes: one based on
perturbative treatment of the twistor space field equations followed by
inverting Fronsdal kinetic terms using standard Green's functions; and an
alternative scheme based on solving the twistor space field equations exactly
followed by introducing the spacetime dependence using perturbatively defined
gauge functions. Motivated by the need to provide a higher spin invariant
characterization of the exact solutions, aspects of a proposal for a geometric
description of Vasiliev's equation involving an infinite dimensional
generalization of anti de Sitter space is revisited and improved.
