Ashtekar's New Variables and Positive Energy

Abstract

We discuss earlier unsuccessful attempts to formulate a positive gravitational energy proof in terms of the New Variables of Ashtekar. We also point out the difficulties of a Witten spinor type proof. We then use the special orthonormal frame gauge conditions to obtain a locally positive expression for the New Variables Hamiltonian and thereby a ``localization'' of gravitational energy as well as a positive energy proof.

12 pages Plain TeX

References in corpus (1)

• Another positivity proof and gravitational energy localizations

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