A Quadratic Spinor Lagrangian for General Relativity

Details A Quadratic Spinor Lagrangian for General Relativity A Quadratic Spinor Lagrangian for General Relativity

1994-07-06

arxiv.org/abs/gr-qc/9407004v1

Gen.Rel.Grav.27:115,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages (Plain TeX), NCU-GR-94-QSLG

Scientific paper

10.1007/BF02107951

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.)

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