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We present unfolded description of AdS(4) black hole with generic parametersof mass, NUT, magnetic and electric charges as well as two kinematicalparameters one of which is angular momentum. A flow with respect to black holeparameters, that relates the obtained black hole unfolded system to thecovariant constancy condition for an AdS(4) global symmetry parameter, isfound. The proposed formulation gives rise to a coordinate-independentdescription of the black hole metric in AdS(4). The black hole charges areidentified with flow evolution parameters while its kinematical constants arethe first integrals of the black hole unfolded system expressed via invariantsof the AdS(4) global symmetry parameter. It is shown how the proposed methodreproduces various known forms of black hole metrics including the Carter andKerr-Newman solutions. Free flow gauge parameters allow us to choose differentmetric representations such as Kerr-Schild, double Kerr-Schild or generalizedCarter-Plebanski in the coordinate-independent way.

Unfolded Dynamics and Parameter Flow of Generic AdS(4) Black Hole