Unfolded Description of $AdS_4$ Kerr Black Hole
V.E. Didenko, A.S. Matveev, M.A. Vasiliev
TL;DR
This paper presents a novel unfolded differential equation framework for describing the $AdS_4$ Kerr black hole, revealing algebraic properties and solutions for massless fields of any spin in a coordinate-independent manner.
Contribution
It introduces a new unfolded system of differential equations that characterizes the $AdS_4$ Kerr black hole and derives associated solutions for massless fields of arbitrary spin.
Findings
Black hole described by unfolded equations deforming $AdS_4$ space
Algebraic properties of Kerr-Schild solutions derived from the unfolded system
Solutions for massless fields of any spin in $AdS_4$ related to the black hole
Abstract
It is shown that Kerr black hole is a solution of simple unfolded differential equations that form a deformation of the zero-curvature description of empty 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 for massless fields of any spin, associated to the proposed black hole unfolded system, are found.
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