Algebraic analysis of a model of two-dimensional gravity

Abstract

An algebraic analysis of the Hamiltonian formulation of the model two-dimensional gravity is performed. The crucial fact is an exact coincidence of the Poisson brackets algebra of the secondary constraints of this Hamiltonian formulation with the SO(2,1)-algebra. The eigenvectors of the canonical Hamiltonian $H_c$ are obtained and explicitly written in closed form.

21 pages, to appear in General Relativity and Gravitation

References in corpus (6)

• A Canonical Approach to the Einstein-Hilbert Action in Two Spacetime Dimensions
• A Canonical Analysis of the Einstein-Hilbert Action in First Order Form
• Dirac and Lagrangian reductions in the canonical approach to the first order form of the Einstein-Hilbert action
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• On Hamiltonian formulation of the Einstein-Hilbert action in two dimensions
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Cited by in corpus (1)

• On the breakdown of space-time in general relativity