A New Parametrization for Tetrad Gravity

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.

arXiv comment50 pages, revtex file

References in corpus (11)

• The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
• N- and 1-time Classical Description of N-body Relativistic Kinematics and the Electromagnetic Interaction
• The Rest-Frame Instant Form of Metric Gravity
• Geometrodynamics vs. Connection Dynamics
• Generalized boundary conditions for general relativity for the asymptotically flat case in terms of Ashtekar's variables
• Dirac's Observables for the Higgs Model: I) the Abelian Case
• Dirac's Observables for the Higgs Model: II) the non-Abelian SU(2) Case
• Towards a unified description of the four interactions in terms of Dirac-Bergmann observables
• Hamiltonian Poincaré Gauge Theory of Gravitation
• The Tetrad Frame Constraint Algebra
• Tetrad Gravity: III) Asymptotic Poincare' Charges, the Physical Hamiltonian and Void Spacetimes

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• The Physical Role of Gravitational and Gauge Degrees of Freedom in General Relativity - I: Dynamical Synchronization and Generalized Inertial Effects
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• From Clock Synchronization to Dark Matter as a Relativistic Inertial Effect
• Generalized Radar 4-Coordinates and Equal-Time Cauchy Surfaces for Arbitrary Accelerated Observers
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• Post-Minkowskian Gravity: Dark Matter as a Relativistic Inertial Effect?
• Relativistic Entanglement from Relativistic Quantum Mechanics in the Rest-Frame Instant Form of Dynamics