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Despite all the already existing observational data, current models stillcannot explain completely the excessive energy output and the time variabilityof GRB. One of the reasons for this is the lack of a good model of the centralengine of GRB. A major problem in the proposed models with a black hole (BH) inthe center is that they don't explain the observed evidences of late timeactivity of the central engine.  In this paper we are starting the search for a possible model of that centralengine as a rotating compact body of still unknown nature. The formation ofjets in the new model lies entirely on the fundamental Teukolsky MasterEquation. We demonstrate that this general model can describe the formation ofcollimated GRB-jets of various forms. Some preliminary results are presented.

A new model of the Central Engine of GRB and the Cosmic Jets