Boundary term, extended Witten identities and positivity of energy

Details Boundary term, extended Witten identities and positivity of energy Boundary term, extended Witten identities and positivity of energy

2005-03-09

arxiv.org/abs/gr-qc/0503036v1

Phys. Rev. D 72 (2005) 124020

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, no figure

Scientific paper

In terms of two-spinors a chiral formulation of general relativity with the Ashtekar Lagrangian and its Hamiltonian formalism in which the basic dynamic variables are the dyad spinors are presented. The extended Witten identities are derived. A new expression of the Hamiltonian boundary term is obtained. Using this expression and the extended Witten identities the proof of the positive energy theorem is extended to a case including momentum and angular momentum.

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