MG11 
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Nonlinear Supersymmetric General Relativity

We extend the geometrical arguments of Einstein general relativity (EGR) on Riemann spacetime to a new spacetime, where the tangent spacetime posesses SL(2,C) Grassman coordinates for a coset space ${superGL(4,R) \over GL(4,R)}$ turning subsequently to the Nambu-Goldstone fermion dynamical degrees of freedom. We also introduce a nonlinear supersymmetric (NLSUSY) GR action of the vacuum Einstein-Hilbert type in the new spacetime and discuss the invariance of the action as a whole (especially, local Lorentz invariance etc). Renormalizable linear supermultiplets which recast the NLSUSY model are shown to obtain an equivalent low energy effective field theory of the NLSUSY GR. We also discuss the cosmological implications of the NLSUSY GR and some intimate relations among cosmological quantities.