Construction of hyperboloidal initial data

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I describe the conformal method for constructing solutions of the hyperboloidal constraint equations as well as the conditions needed on the free data in order to have regularity up to boundary for the solutions to the constraint equations. A brief discussion of the Einstein evolution equations in the unphysical setting is given.
Talk given at the Workshop on the Conformal Structure of Space-Times, Tübingen, April 2--4, 2001

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