Unfolded Description of AdS4 Kerr Black Hole

Abstract

It is shown that AdS4 Kerr black hole is a solution of simple unfolded differential equations that form a deformation of the zero-curvature description of empty AdS4 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 AdS4 for massless fields of any spin, associated to the proposed black hole unfolded system, are found.

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