Spinor One-forms as Gravitational Potentials

Abstract

General relativity is derived from an action which is quadratic in the covariant derivative of certain spinor one-form gravitational potentials. Either a pair of 2-component spinor one-forms or a single Dirac spinor one-form can be employed. The metric is a quadratic function of these spinor one-forms. In the 2-component spinor formulation the action differs from the usual chiral action for general relativity by a total differential. In the Dirac spinor formulation the action is the real part of the former one. The Hamiltonian is related to the ones in positive energy proofs and spinorial quasilocal mass constructions.

7 pages, plain LaTeX, (with minor changes)

References in corpus (2)

• A Quadratic Spinor Lagrangian for General Relativity
• Another positivity proof and gravitational energy localizations

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