Ashtekar Variables in Classical General Realtivity

TL;DR

This paper introduces Ashtekar's reformulation of classical General Relativity using connection variables, providing a foundation for quantum gravity research.

Contribution

It presents an accessible introduction to Ashtekar variables, bridging classical and quantum gravity frameworks.

Findings

Reformulation of Einstein's equations in terms of connection variables

Simplification of the canonical structure of General Relativity

Foundation for subsequent quantum gravity developments

Abstract

This paper contains an introduction into Ashtekar's reformulation of General Relativity in terms of connection variables. To appear in "Canonical Gravity - From Classical to Quantum", ed. by J. Ehlers and H. Friedrich, Springer Verlag (1994).