Self-dual teleparallel formulation of general relativity and the positive energy theorem

Details Self-dual teleparallel formulation of general relativity and the positive energy theorem Self-dual teleparallel formulation of general relativity and the positive energy theorem

Aug 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003phrvd..68d4006c&link_type=abstract

Physical Review D, vol. 68, Issue 4, id. 044006

Physics

4

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Canonical Formalism, Lagrangians, And Variational Principles, Spacetime Topology, Causal Structure, Spinor Structure

Scientific paper

A self-dual and anti-self-dual decomposition of the teleparallel formulation of Einstein’s general relativity is carried out and the self-dual Lagrangian of the teleparallel formulation of Einstein’s general relativity, which is equivalent to the Ashtekar Lagrangian in vacuum, is obtained. Its Hamiltonian formulation and the constraint analysis are developed. Starting from Witten’s equation the gauge condition of Nester and co-workers is derived directly and a new expression of the boundary term is obtained. Using this expression and Witten’s identity the proof of the positive energy theorem by Nester and co-workers is extended to a case including momentum.

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