Hamiltonian formulation of the gauge theory of gravitation Pure-gravity case.

Details Hamiltonian formulation of the gauge theory of gravitation Pure-gravity case. Hamiltonian formulation of the gauge theory of gravitation Pure-gravity case.

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ncimb..74...93f&link_type=abstract

Nuovo Cimento B, Serie 11, vol. 74B, March 11, 1983, p. 93-111.

Physics

5

Canonical Forms, Gauge Invariance, Gravitation Theory, Hamiltonian Functions, Relativity, Unified Field Theory, Coordinate Transformations, Dirac Equation, Euler-Lagrange Equation, Lagrange Coordinates, Lorentz Transformations

Scientific paper

The canonical formulation of the gauge theory of gravitation is discussed. The Lagrangian of the theory is introduced, examining its Euler-Lagrange equations and Lagrange constraints. The system is formulated using Dirac's Hamiltonian dynamics, and a set of constraints is found which governs the gauge symmetry of the system and reduces the degrees of freedom to physical ones. The reduction is discussed and the system is described only by tetrad variables. A set of first-class constraints which governs the gauge symmetry of the tetrad dynamics is obtained.

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