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

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