Another positivity proof and gravitational energy localizations
James M. Nester, Roh-Suan Tung
TL;DR
This paper reviews and introduces new positive expressions for gravitational energy localization using spinors and orthonormal frames, linking different methods and discussing quasi-localization prospects.
Contribution
It presents a new quadratic 3-spinor-curvature identity that yields a positive gravitational Hamiltonian, connecting existing approaches and advancing energy localization.
Findings
New quadratic 3-spinor-curvature identity established
Positive gravitational energy expressions derived using different methods
Discussion on localization and quasi-localization prospects
Abstract
Two locally positive expressions for the gravitational Hamiltonian, one using 4-spinors the other special orthonormal frames, are reviewed. A new quadratic 3-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 quasi-localization are discussed.
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