Instanton representation of Plebanski gravity. Application to Bianchi Type A metrics

TL;DR

This paper develops a solution for spatially homogeneous diagonal variables in general relativity using the instanton representation, offering insights that could inform the full theory.

Contribution

It introduces a novel application of the instanton representation to derive solutions in Bianchi Type A metrics, advancing understanding of homogeneous GR solutions.

Findings

Constructed a general solution for diagonal variables in Bianchi Type A models.

Provided physical intuition and a testing ground for features of general relativity.

Highlighted the potential for the instanton representation to inform full GR theory.

Abstract

Using the instanton representation method we construct a general solution for GR in the spatially homogeneous case restricted to diagonal variables. This paper provides a testing ground and physical intuition for many of the salient features of general relativity which it is suggested should be preserved in the full theory.