Tetrad Gravity: I) A New Formulation

Details Tetrad Gravity: I) A New Formulation Tetrad Gravity: I) A New Formulation

1998-07-28

arxiv.org/abs/gr-qc/9807073v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

68 pages, revtex, revised version with additions

Scientific paper

A new version of tetrad gravity in globally hyperbolic, asymptotically flat at spatial infinity spacetimes with Cauchy surfaces diffeomorphic to $R^3$ is obtained by using a new parametrization of arbitrary cotetrads to define a set of configurational variables to be used in the ADM metric action. Seven of the fourteen first class constraints have the form of the vanishing of canonical momenta. A comparison is made with other models of tetrad gravity and with the ADM canonical formalism for metric gravity. The phase space expression of various 4-tensors is explicitly given.

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