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

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.

12 pages. Background material for revised journal article

References in corpus (3)

• Quantum algebra of the Hamiltonian constraint in reduced four-dimensional gravity
• Duality between constraints and gauge conditions
• Instanton representation of Plebanski gravity. Euclidean signature minisuperspace solution