Two-dimensional metric and tetrad gravities as constrained second order systems

Abstract

Using the Gitman-Lyakhovich-Tyutin generalization of the Ostrogradsky method for analyzing singular systems, we consider the Hamiltonian formulation of metric and tetrad gravities in two-dimensional Riemannian spacetime treating them as constrained higher-derivative theories. The algebraic structure of the Poisson brackets of the constraints and the corresponding gauge transformations are investigated in both cases.

replaced with revised version published in Mod.Phys.Lett.A22:17-28,2007

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Cited by in corpus (8)

• Hamiltonian formulation of tetrad gravity: three dimensional case
• The Canonical Structure of the First Order Einstein-Hilbert Action
• Hamiltonian analysis for linearly acceleration-dependent Lagrangians
• Analysis of Hamiltonian formulations of linearized General Relativity
• New canonical analysis for higher order topologically massive gravity
• Lagrangian generators of the Poincare gauge symmetries
• Algebraic analysis of a model of two-dimensional gravity
• Effects of curvature and gravity from flat spacetime