The reality conditions for the new canonical variables of General Relativity

Preprint

20 February 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9202071

Abstract

We examine the constraints and the reality conditions that have to be imposed in the canonical theory of 4--d gravity formulated in terms of Ashtekar variables. We find that the polynomial reality conditions are consistent with the constraints, and make the theory equivalent to Einstein's, as long as the inverse metric is not degenerate; when it is degenerate, reality conditions cannot be consistently imposed in general, and the theory describes complex general relativity.

Keywords

CONDITIONS ARE CONSISTENT
CANONICAL VARIABLES
POLYNOMIAL REALITY
REALITY CONDITIONS
GENERAL RELATIVITY
THEORY EQUIVALENT
INVERSE METRIC
NEW CANONICAL
GRAVITY

All Related Versions

Version 1, 1992-02-20, ArXiv
Published version: Classical and Quantum Gravity, 10 (11), 2347.

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