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

TL;DR

This paper demonstrates how the instanton representation method can reconstruct graviton solutions around DeSitter spacetime, validating the approach and setting the stage for discovering new solutions in General Relativity.

Contribution

It introduces the application of the instanton representation to graviton solutions in DeSitter space, showing its effectiveness and potential for future solution construction.

Findings

Successfully reconstructs graviton solutions in DeSitter spacetime

Validates the instanton representation method for known solutions

Establishes groundwork for future new solutions in General Relativity

Abstract

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