Sen-Witten orthonormal three-frame and gravitational energy quasilocalization
V. Pelykh
TL;DR
This paper derives a new expression for the gravitational Hamiltonian density using Sen-Witten spinors and establishes a link between this and the ADM Hamiltonian in asymptotically flat spacetimes.
Contribution
It introduces a novel formulation of the gravitational Hamiltonian density in terms of Sen-Witten spinors and orthonormal frames, connecting it directly with the ADM Hamiltonian.
Findings
Derived the Witten-Nester 4-spinor 3-form in terms of Sommers-Sen spinors.
Established a direct connection between the Sen-Witten frame and the ADM Hamiltonian.
Provided a new perspective on gravitational energy quasilocalization.
Abstract
Expression for the Witten-Nester 4-spinor 3-form of the Hamiltonian density of gravitational field in the asymptotically flat space-time in terms of the Sommers-Sen spinors, direct with a certain orthonormal three-frame connect, is obtained. A direct connection between the one and the ADM Hamiltonian density in the Sen-Witten frame is established on this basis.
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