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Phys. Rev. D 49, 3958–3962 (1994)

Another positivity proof and gravitational energy localizations

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James M. Nester* and Roh-Suan Tung
Department of Physics, National Central University, Chung-Li, Taiwan 32054

Received 28 September 1993; published in the issue dated 15 April 1994

Two locally positive expressions for the gravitational Hamiltonian, one using four-spinors and the other special orthonormal frames, are reviewed. A new quadratic three-spinor-curvature identity is used to obtain another positive expression for the Hamiltonian and thereby a localization of gravitational energy and positive energy proof. These new results provide a link between the other two methods. Localization and prospects for quasilocalization are discussed.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.49.3958
DOI:
10.1103/PhysRevD.49.3958
PACS:
04.20.Cv, 04.20.Fy

*Electronic address: nester@phyast.phy.ncu.edu.tw

Electronic address: m792001@phyast.phy.ncu.edu.tw