Another positivity proof and gravitational energy localizations

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.

14 pages REVTeX

References in corpus (2)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Some Spinor-Curvature Identities

Cited by in corpus (8)

• On the energy of homogeneous cosmologies
• A Quadratic Spinor Lagrangian for General Relativity
• Spinor One-forms as Gravitational Potentials
• Noether currents and charges for Maxwell-like Lagrangians
• Some Spinor-Curvature Identities
• Ashtekar's New Variables and Positive Energy
• Maxwell-type behaviour from a geometrical structure
• Sen-Witten orthonormal three-frame and gravitational energy quasilocalization