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Generalization of the Hilbert-Palatini Action in Four-Dimensional Gravity

Wu Ya-Bo and Li Jiu-Li

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The generalized two-parametric Hilbert-Palatini action is constructed, which not only includes the well-known Hilbert-Palatini and Ashtekar gravitational theory as special cases, but also gives new results. In Hamiltonian formulation, the phase space variables and the corresponding Hamiltonian constraints can be obtained, including the Ashtekar and Barbero type constraints. Moreover, the results of this action are the same as those given by the parametric canonical transformations, although these two methods are completely different.


PACS

04.20.Fy Canonical formalism, Lagrangians, and variational principles

04.20.Cv Fundamental problems and general formalism

04.20.Gz Spacetime topology, causal structure, spinor structure

Subjects

Gravitation and cosmology

Dates

Issue 3 (March 2001)

Received 11 July 2000



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