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Using the instanton representation method, we re-construct graviton solutionsabout DeSitter spacetime. We have used this example as a testing arena toexpose the internal structure of the method and to establish that it works forknown solutions. This paper is a precursor for its application to theconstruction of new General Relativity solutions in future work.

Instanton representation of Plebanski gravity. Application to gravitons about DeSitter spacetime