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

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	WU Ya-Bo
	LI Jiu-Li

关键词 ： 04.20.Cv, 04.20.Fy, 02.40.Ky

Abstract： 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.

Key words： 04.20.Cv 04.20.Fy 02.40.Ky

出版日期: 2001-03-01

:	04.20.Cv	(Fundamental problems and general formalism)
	04.20.Fy	(Canonical formalism, Lagrangians, and variational principles)
	02.40.Ky	(Riemannian geometries)

引用本文:

WU Ya-Bo;LI Jiu-Li. Generalization of the Hilbert-Palatini Action in Four-Dimensional Gravity[J]. 中国物理快报, 2001, 18(3): 328-330.
WU Ya-Bo, LI Jiu-Li. Generalization of the Hilbert-Palatini Action in Four-Dimensional Gravity. Chin. Phys. Lett., 2001, 18(3): 328-330.

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https://cpl.iphy.ac.cn/CN/ 或 https://cpl.iphy.ac.cn/CN/Y2001/V18/I3/328