Ashtekar's New Variables and Positive Energy

Details Ashtekar's New Variables and Positive Energy Ashtekar's New Variables and Positive Energy

1994-01-07

arxiv.org/abs/gr-qc/9401004v1

Class.Quant.Grav.11:757-766,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages Plain TeX

Scientific paper

10.1088/0264-9381/11/3/024

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.

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