New ways of deriving Arnowitt-Deser-Misner constraint equations in four-dimensional gravity
Wu Ya-Bo (吴亚波)a, Li Jiu-Li (李久利)b, Li Lei (李磊)a
a Department of Physics, Liaoning Normal University, Dalian 116029, China; b National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China
Abstract In this paper, the Arnowitt-Deser-Misner (ADM) constraint equations are naturally derived in two different ways. One method is to construct a one-parametric gravitational action in the Lorentzian spacetime. Hence, the one-parametric ADM constraint equations can be obtained. The other method is to apply the double complex function method to Einstein-Hilbert gravitational fields in Hamiltonian formulation. Therefore the double ADM constraint equations can be obtained, in which the well-known ADM constraint equations are included as a special case.
Received: 01 March 2001
Revised: 03 November 2001
Accepted manuscript online:
Fund: Project supported by the Scientific Research Foundation of the Higher Education Institution of Liaoning Province, China (Grant No 20041012).
Cite this article:
Wu Ya-Bo (吴亚波), Li Jiu-Li (李久利), Li Lei (李磊) New ways of deriving Arnowitt-Deser-Misner constraint equations in four-dimensional gravity 2002 Chinese Physics 11 222
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