Tetrad Gravity: I) A New Formulation

Abstract

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.

arXiv comment68 pages, revtex, revised version with additions

References in corpus (4)

• General Relativistic 1+3 Orthonormal Frame Approach Revisited
• Canonical Quantum Gravity
• Prima Facie Questions in Quantum Gravity
• 4D diffeomorphisms in canonical gravity and abelian deformations

Cited by in corpus (4)

• The Rest-Frame Instant Form of Relativistic Perfect Fluids and of Non-Dissipative Elastic Materials
• Towards a unified description of the four interactions in terms of Dirac-Bergmann observables
• The gauge group in the real triad formulation of general relativity
• The N-body Problem in Tetrad Gravity: a First Step towards the Unified Description of the Four Interactions