A Quadratic Spinor Lagrangian for General Relativity
General Relativity and Quantum Cosmology
2010-11-01 v1
Abstract
We present a new finite action for Einstein gravity in which the Lagrangian is quadratic in the covariant derivative of a spinor field. Via a new spinor-curvature identity, it is related to the standard Einstein-Hilbert Lagrangian by a total differential term. The corresponding Hamiltonian, like the one associated with the Witten positive energy proof is fully four-covariant. It defines quasi-local energy-momentum and can be reduced to the one in our recent positive energy proof. (Fourth Prize, 1994 Gravity Research Foundation Essay.)
Cite
@article{arxiv.gr-qc/9407004,
title = {A Quadratic Spinor Lagrangian for General Relativity},
author = {James M. Nester and Roh Suan Tung},
journal= {arXiv preprint arXiv:gr-qc/9407004},
year = {2010}
}
Comments
5 pages (Plain TeX), NCU-GR-94-QSLG