New ways of deriving Arnowitt-Deser-Misner constraint equations in four-dimensional gravity

doi:10.1088/1009-1963/11/3/304

中国物理B ›› 2002, Vol. 11 ›› Issue (3): 222-225.doi: 10.1088/1009-1963/11/3/304

New ways of deriving Arnowitt-Deser-Misner constraint equations in four-dimensional gravity

吴亚波¹, 李磊¹, 李久利²

(1)Department of Physics, Liaoning Normal University, Dalian 116029, China; (2)National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China

收稿日期:2001-03-01 修回日期:2001-11-03 出版日期:2002-03-13 发布日期:2005-06-13
基金资助:
Project supported by the Scientific Research Foundation of the Higher Education Institution of Liaoning Province, China (Grant No 20041012).

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

Received:2001-03-01 Revised:2001-11-03 Online:2002-03-13 Published:2005-06-13
Supported by:
Project supported by the Scientific Research Foundation of the Higher Education Institution of Liaoning Province, China (Grant No 20041012).

摘要/Abstract

摘要： 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.

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.

Key words: Arnowitt-Desner-Misner (ADM) constraint equations, Hamiltonian formulation, spacetime signature

中图分类号: (Spacetime topology, causal structure, spinor structure)

04.20.Gz

04.60.-m (Quantum gravity)

吴亚波, 李久利, 李磊. New ways of deriving Arnowitt-Deser-Misner constraint equations in four-dimensional gravity[J]. 中国物理B, 2002, 11(3): 222-225.

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[J]. Chinese Physics, 2002, 11(3): 222-225.

[1]	Gamal G.L. Nashed. Gravitational radiation fields in teleparallel equivalent of general relativity and their energies[J]. 中国物理B, 2010, 19(11): 110402-110506.
[2]	辜英求. The series solution to the metric of stationary vacuum with axisymmetry[J]. 中国物理B, 2010, 19(3): 30402-030402.
[3]	Gamal G.L. Nashed. Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors, energy, momentum and angular momentum[J]. 中国物理B, 2010, 19(2): 20401-020401.
[4]	崔晶磊, 张莉, 张敬飞, 张鑫. New agegraphic dark energy as a rolling tachyon[J]. 中国物理B, 2010, 19(1): 19802-019802.
[5]	覃一平. A cosmological model with negative energy photons[J]. 中国物理B, 2010, 19(1): 19803-019803.
[6]	龚添喜, 王永久. Orbital effect in the stationary axisymmetric field[J]. 中国物理B, 2008, 17(7): 2356-2360.
[7]	陈菊华, 王永久. Influence of dark energy on time-like geodesic motion in Schwarzschild spacetime[J]. 中国物理B, 2008, 17(4): 1184-1188.
[8]	鲁重贤. The bending of light ray and unphysical solutions in general relativity[J]. 中国物理B, 2004, 13(2): 159-167.
[9]	杨荣佳, 荆继良. Newtonian forms for the motion of particles and photons in dilaton spacetime[J]. 中国物理B, 2004, 13(5): 612-617.
[10]	黄秀菊, 王永久. Mass neutrino oscillations in Reissner－Nordstrom space－time[J]. 中国物理B, 2004, 13(9): 1588-1590.
[11]	杨树政, 林理彬. The quantum nonthermal effect of a nonstationary Kerr－Newman black hole and the average range of the effective particles[J]. 中国物理B, 2002, 11(6): 619-623.
[12]	谢实崇, 杨雪特, 杨树政, 林理彬. NON-THERMAL RADIATION FROM A NON-KERR－NEWMAN BLACK HOLE[J]. 中国物理B, 2001, 10(10): 979-982.
[13]	杨树政, 林理彬. NEW KINDS OF DIRAC ENERGY LEVELS AND THEIR CROSSING REGIONS[J]. 中国物理B, 2001, 10(11): 1066-1070.
[14]	刘泽文, 朱镇龙, 孟祥君. THE RELATIVISTIC COVARIANCE OF ONNES EQUATION[J]. 中国物理B, 2000, 9(4): 241-243.
[15]	王永成. ROTATING RINDLER SPACE TIME WITH CONSTANT ANGULAR VELOCITY[J]. 中国物理B, 2000, 9(5): 329-332.

New ways of deriving Arnowitt-Deser-Misner constraint equations in four-dimensional gravity

New ways of deriving Arnowitt-Deser-Misner constraint equations in four-dimensional gravity

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0